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Finding the Fourth Proportional to 642.24, 886.50 and 380.16

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Solution

The fourth proportional to 642.24, 886.50 and 380.16 is: 524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.24 : 886.50 = 380.16 : x
  2. Step 2: Convert to fraction form
    642.24/886.50 = 380.16/x
  3. Step 3: Cross multiply
    642.24x = 886.50 × 380.16
  4. Step 4: Simplify right side
    642.24x = 337,011.84
  5. Step 5: Solve for x
    x = 337,011.84/642.24
  6. Step 6: Final answer
    x = 524.74

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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.