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Finding the Fourth Proportional to 527.76, 728.36 and 291.75

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Solution

The fourth proportional to 527.76, 728.36 and 291.75 is: 402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.76 : 728.36 = 291.75 : x
  2. Step 2: Convert to fraction form
    527.76/728.36 = 291.75/x
  3. Step 3: Cross multiply
    527.76x = 728.36 × 291.75
  4. Step 4: Simplify right side
    527.76x = 212,499.03
  5. Step 5: Solve for x
    x = 212,499.03/527.76
  6. Step 6: Final answer
    x = 402.64

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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.