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Finding the Fourth Proportional to 582.76, 804.17 and 320.78

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Solution

The fourth proportional to 582.76, 804.17 and 320.78 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.76 : 804.17 = 320.78 : x
  2. Step 2: Convert to fraction form
    582.76/804.17 = 320.78/x
  3. Step 3: Cross multiply
    582.76x = 804.17 × 320.78
  4. Step 4: Simplify right side
    582.76x = 257,957.63
  5. Step 5: Solve for x
    x = 257,957.63/582.76
  6. Step 6: Final answer
    x = 442.65

Related Problems

Find fourth proportional to 291.38, 402.09 and 160.39
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.