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Finding the Fourth Proportional to 377.87, 521.24 and 354.17

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Solution

The fourth proportional to 377.87, 521.24 and 354.17 is: 488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.87 : 521.24 = 354.17 : x
  2. Step 2: Convert to fraction form
    377.87/521.24 = 354.17/x
  3. Step 3: Cross multiply
    377.87x = 521.24 × 354.17
  4. Step 4: Simplify right side
    377.87x = 184,607.10
  5. Step 5: Solve for x
    x = 184,607.10/377.87
  6. Step 6: Final answer
    x = 488.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.