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Finding the Fourth Proportional to 918.32, 1,377.58 and 398.46

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Solution

The fourth proportional to 918.32, 1,377.58 and 398.46 is: 597.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.32 : 1,377.58 = 398.46 : x
  2. Step 2: Convert to fraction form
    918.32/1,377.58 = 398.46/x
  3. Step 3: Cross multiply
    918.32x = 1,377.58 × 398.46
  4. Step 4: Simplify right side
    918.32x = 548,910.53
  5. Step 5: Solve for x
    x = 548,910.53/918.32
  6. Step 6: Final answer
    x = 597.73

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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.