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Finding the Fourth Proportional to 532.22, 730.06 and 527.60

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Solution

The fourth proportional to 532.22, 730.06 and 527.60 is: 723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.22 : 730.06 = 527.60 : x
  2. Step 2: Convert to fraction form
    532.22/730.06 = 527.60/x
  3. Step 3: Cross multiply
    532.22x = 730.06 × 527.60
  4. Step 4: Simplify right side
    532.22x = 385,177.02
  5. Step 5: Solve for x
    x = 385,177.02/532.22
  6. Step 6: Final answer
    x = 723.72

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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.