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Finding the Fourth Proportional to 532.62, 738.42 and 504.93

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Solution

The fourth proportional to 532.62, 738.42 and 504.93 is: 700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 738.42 = 504.93 : x
  2. Step 2: Convert to fraction form
    532.62/738.42 = 504.93/x
  3. Step 3: Cross multiply
    532.62x = 738.42 × 504.93
  4. Step 4: Simplify right side
    532.62x = 372,850.41
  5. Step 5: Solve for x
    x = 372,850.41/532.62
  6. Step 6: Final answer
    x = 700.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.