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Finding the Fourth Proportional to 918.44, 1,377.72 and 398.56

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Solution

The fourth proportional to 918.44, 1,377.72 and 398.56 is: 597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.44 : 1,377.72 = 398.56 : x
  2. Step 2: Convert to fraction form
    918.44/1,377.72 = 398.56/x
  3. Step 3: Cross multiply
    918.44x = 1,377.72 × 398.56
  4. Step 4: Simplify right side
    918.44x = 549,104.08
  5. Step 5: Solve for x
    x = 549,104.08/918.44
  6. Step 6: Final answer
    x = 597.87

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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.