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Finding the Fourth Proportional to 527.67, 727.95 and 409.68

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Solution

The fourth proportional to 527.67, 727.95 and 409.68 is: 565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.67 : 727.95 = 409.68 : x
  2. Step 2: Convert to fraction form
    527.67/727.95 = 409.68/x
  3. Step 3: Cross multiply
    527.67x = 727.95 × 409.68
  4. Step 4: Simplify right side
    527.67x = 298,228.09
  5. Step 5: Solve for x
    x = 298,228.09/527.67
  6. Step 6: Final answer
    x = 565.18

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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.