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Finding the Fourth Proportional to 532.64, 731.10 and 510.08

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Solution

The fourth proportional to 532.64, 731.10 and 510.08 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 731.10 = 510.08 : x
  2. Step 2: Convert to fraction form
    532.64/731.10 = 510.08/x
  3. Step 3: Cross multiply
    532.64x = 731.10 × 510.08
  4. Step 4: Simplify right side
    532.64x = 372,919.49
  5. Step 5: Solve for x
    x = 372,919.49/532.64
  6. Step 6: Final answer
    x = 700.13

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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.