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Finding the Fourth Proportional to 432.69, 597.24 and 264.71

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Solution

The fourth proportional to 432.69, 597.24 and 264.71 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 597.24 = 264.71 : x
  2. Step 2: Convert to fraction form
    432.69/597.24 = 264.71/x
  3. Step 3: Cross multiply
    432.69x = 597.24 × 264.71
  4. Step 4: Simplify right side
    432.69x = 158,092.41
  5. Step 5: Solve for x
    x = 158,092.41/432.69
  6. Step 6: Final answer
    x = 365.37

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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.