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Finding the Fourth Proportional to 528.68, 729.30 and 410.44

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Solution

The fourth proportional to 528.68, 729.30 and 410.44 is: 566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.68 : 729.30 = 410.44 : x
  2. Step 2: Convert to fraction form
    528.68/729.30 = 410.44/x
  3. Step 3: Cross multiply
    528.68x = 729.30 × 410.44
  4. Step 4: Simplify right side
    528.68x = 299,337.03
  5. Step 5: Solve for x
    x = 299,337.03/528.68
  6. Step 6: Final answer
    x = 566.20

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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.