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Finding the Fourth Proportional to 582.71, 804.14 and 320.72

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Solution

The fourth proportional to 582.71, 804.14 and 320.72 is: 442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 804.14 = 320.72 : x
  2. Step 2: Convert to fraction form
    582.71/804.14 = 320.72/x
  3. Step 3: Cross multiply
    582.71x = 804.14 × 320.72
  4. Step 4: Simplify right side
    582.71x = 257,903.78
  5. Step 5: Solve for x
    x = 257,903.78/582.71
  6. Step 6: Final answer
    x = 442.59

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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.