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Finding the Fourth Proportional to 544, 748.14 and 432.16

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Solution

The fourth proportional to 544, 748.14 and 432.16 is: 594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    544 : 748.14 = 432.16 : x
  2. Step 2: Convert to fraction form
    544/748.14 = 432.16/x
  3. Step 3: Cross multiply
    544x = 748.14 × 432.16
  4. Step 4: Simplify right side
    544x = 323,316.18
  5. Step 5: Solve for x
    x = 323,316.18/544
  6. Step 6: Final answer
    x = 594.33

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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.