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Finding the Fourth Proportional to 582.74, 804.14 and 320.76

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Solution

The fourth proportional to 582.74, 804.14 and 320.76 is: 442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 804.14 = 320.76 : x
  2. Step 2: Convert to fraction form
    582.74/804.14 = 320.76/x
  3. Step 3: Cross multiply
    582.74x = 804.14 × 320.76
  4. Step 4: Simplify right side
    582.74x = 257,934.34
  5. Step 5: Solve for x
    x = 257,934.34/582.74
  6. Step 6: Final answer
    x = 442.63

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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.