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Finding the Fourth Proportional to 527.76, 728.46 and 353.16

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Solution

The fourth proportional to 527.76, 728.46 and 353.16 is: 487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 728.46 = 353.16 : x
  2. Step 2: Convert to fraction form
    527.76/728.46 = 353.16/x
  3. Step 3: Cross multiply
    527.76x = 728.46 × 353.16
  4. Step 4: Simplify right side
    527.76x = 257,262.93
  5. Step 5: Solve for x
    x = 257,262.93/527.76
  6. Step 6: Final answer
    x = 487.46

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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.