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Finding the Fourth Proportional to 528.64, 728.76 and 410.80

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Solution

The fourth proportional to 528.64, 728.76 and 410.80 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.64 : 728.76 = 410.80 : x
  2. Step 2: Convert to fraction form
    528.64/728.76 = 410.80/x
  3. Step 3: Cross multiply
    528.64x = 728.76 × 410.80
  4. Step 4: Simplify right side
    528.64x = 299,374.61
  5. Step 5: Solve for x
    x = 299,374.61/528.64
  6. Step 6: Final answer
    x = 566.31

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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.