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Finding the Fourth Proportional to 918.52, 1,376.70 and 398.44

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Solution

The fourth proportional to 918.52, 1,376.70 and 398.44 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.52 : 1,376.70 = 398.44 : x
  2. Step 2: Convert to fraction form
    918.52/1,376.70 = 398.44/x
  3. Step 3: Cross multiply
    918.52x = 1,376.70 × 398.44
  4. Step 4: Simplify right side
    918.52x = 548,532.35
  5. Step 5: Solve for x
    x = 548,532.35/918.52
  6. Step 6: Final answer
    x = 597.19

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Why These Related Problems?

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