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Finding the Fourth Proportional to 658.74, 904.74 and 548.04

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Solution

The fourth proportional to 658.74, 904.74 and 548.04 is: 752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.74 : 904.74 = 548.04 : x
  2. Step 2: Convert to fraction form
    658.74/904.74 = 548.04/x
  3. Step 3: Cross multiply
    658.74x = 904.74 × 548.04
  4. Step 4: Simplify right side
    658.74x = 495,833.71
  5. Step 5: Solve for x
    x = 495,833.71/658.74
  6. Step 6: Final answer
    x = 752.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.