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Finding the Fourth Proportional to 543.25, 746.53 and 432.53

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Solution

The fourth proportional to 543.25, 746.53 and 432.53 is: 594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.25 : 746.53 = 432.53 : x
  2. Step 2: Convert to fraction form
    543.25/746.53 = 432.53/x
  3. Step 3: Cross multiply
    543.25x = 746.53 × 432.53
  4. Step 4: Simplify right side
    543.25x = 322,897.41
  5. Step 5: Solve for x
    x = 322,897.41/543.25
  6. Step 6: Final answer
    x = 594.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.