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Finding the Fourth Proportional to 498.12, 687.48 and 358.70

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Solution

The fourth proportional to 498.12, 687.48 and 358.70 is: 495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 687.48 = 358.70 : x
  2. Step 2: Convert to fraction form
    498.12/687.48 = 358.70/x
  3. Step 3: Cross multiply
    498.12x = 687.48 × 358.70
  4. Step 4: Simplify right side
    498.12x = 246,593.85
  5. Step 5: Solve for x
    x = 246,593.85/498.12
  6. Step 6: Final answer
    x = 495.05

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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.