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Finding the Fourth Proportional to 474.88, 710.42 and 338

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Solution

The fourth proportional to 474.88, 710.42 and 338 is: 505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 710.42 = 338 : x
  2. Step 2: Convert to fraction form
    474.88/710.42 = 338/x
  3. Step 3: Cross multiply
    474.88x = 710.42 × 338
  4. Step 4: Simplify right side
    474.88x = 240,121.96
  5. Step 5: Solve for x
    x = 240,121.96/474.88
  6. Step 6: Final answer
    x = 505.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.