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Finding the Fourth Proportional to 561.84, 775.49 and 527.42

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Solution

The fourth proportional to 561.84, 775.49 and 527.42 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.84 : 775.49 = 527.42 : x
  2. Step 2: Convert to fraction form
    561.84/775.49 = 527.42/x
  3. Step 3: Cross multiply
    561.84x = 775.49 × 527.42
  4. Step 4: Simplify right side
    561.84x = 409,002.42
  5. Step 5: Solve for x
    x = 409,002.42/561.84
  6. Step 6: Final answer
    x = 727.97

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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.