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Finding the Fourth Proportional to 532.61, 738.43 and 504.93

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Solution

The fourth proportional to 532.61, 738.43 and 504.93 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.61 : 738.43 = 504.93 : x
  2. Step 2: Convert to fraction form
    532.61/738.43 = 504.93/x
  3. Step 3: Cross multiply
    532.61x = 738.43 × 504.93
  4. Step 4: Simplify right side
    532.61x = 372,855.46
  5. Step 5: Solve for x
    x = 372,855.46/532.61
  6. Step 6: Final answer
    x = 700.05

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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.