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Finding the Fourth Proportional to 432.71, 597.21 and 285.26

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Solution

The fourth proportional to 432.71, 597.21 and 285.26 is: 393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 597.21 = 285.26 : x
  2. Step 2: Convert to fraction form
    432.71/597.21 = 285.26/x
  3. Step 3: Cross multiply
    432.71x = 597.21 × 285.26
  4. Step 4: Simplify right side
    432.71x = 170,356.07
  5. Step 5: Solve for x
    x = 170,356.07/432.71
  6. Step 6: Final answer
    x = 393.70

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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.