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Finding the Fourth Proportional to 477.40, 658.80 and 270.40

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Solution

The fourth proportional to 477.40, 658.80 and 270.40 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 658.80 = 270.40 : x
  2. Step 2: Convert to fraction form
    477.40/658.80 = 270.40/x
  3. Step 3: Cross multiply
    477.40x = 658.80 × 270.40
  4. Step 4: Simplify right side
    477.40x = 178,139.52
  5. Step 5: Solve for x
    x = 178,139.52/477.40
  6. Step 6: Final answer
    x = 373.15

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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.