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Finding the Fourth Proportional to 462.40, 638.62 and 358.74

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Solution

The fourth proportional to 462.40, 638.62 and 358.74 is: 495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.40 : 638.62 = 358.74 : x
  2. Step 2: Convert to fraction form
    462.40/638.62 = 358.74/x
  3. Step 3: Cross multiply
    462.40x = 638.62 × 358.74
  4. Step 4: Simplify right side
    462.40x = 229,096.59
  5. Step 5: Solve for x
    x = 229,096.59/462.40
  6. Step 6: Final answer
    x = 495.46

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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.