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Finding the Fourth Proportional to 527.69, 728.79 and 411.08

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Solution

The fourth proportional to 527.69, 728.79 and 411.08 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.69 : 728.79 = 411.08 : x
  2. Step 2: Convert to fraction form
    527.69/728.79 = 411.08/x
  3. Step 3: Cross multiply
    527.69x = 728.79 × 411.08
  4. Step 4: Simplify right side
    527.69x = 299,592.82
  5. Step 5: Solve for x
    x = 299,592.82/527.69
  6. Step 6: Final answer
    x = 567.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.