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Finding the Fourth Proportional to 528.30, 727.56 and 411.66

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Solution

The fourth proportional to 528.30, 727.56 and 411.66 is: 566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.30 : 727.56 = 411.66 : x
  2. Step 2: Convert to fraction form
    528.30/727.56 = 411.66/x
  3. Step 3: Cross multiply
    528.30x = 727.56 × 411.66
  4. Step 4: Simplify right side
    528.30x = 299,507.35
  5. Step 5: Solve for x
    x = 299,507.35/528.30
  6. Step 6: Final answer
    x = 566.93

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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.