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Finding the Fourth Proportional to 527.72, 728.24 and 291.67

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Solution

The fourth proportional to 527.72, 728.24 and 291.67 is: 402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.72 : 728.24 = 291.67 : x
  2. Step 2: Convert to fraction form
    527.72/728.24 = 291.67/x
  3. Step 3: Cross multiply
    527.72x = 728.24 × 291.67
  4. Step 4: Simplify right side
    527.72x = 212,402.48
  5. Step 5: Solve for x
    x = 212,402.48/527.72
  6. Step 6: Final answer
    x = 402.49

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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.