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Finding the Fourth Proportional to 642.42, 886.64 and 380.52

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Solution

The fourth proportional to 642.42, 886.64 and 380.52 is: 525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.42 : 886.64 = 380.52 : x
  2. Step 2: Convert to fraction form
    642.42/886.64 = 380.52/x
  3. Step 3: Cross multiply
    642.42x = 886.64 × 380.52
  4. Step 4: Simplify right side
    642.42x = 337,382.35
  5. Step 5: Solve for x
    x = 337,382.35/642.42
  6. Step 6: Final answer
    x = 525.17

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