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Finding the Fourth Proportional to 643.52, 887.82 and 410.24

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Solution

The fourth proportional to 643.52, 887.82 and 410.24 is: 565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.52 : 887.82 = 410.24 : x
  2. Step 2: Convert to fraction form
    643.52/887.82 = 410.24/x
  3. Step 3: Cross multiply
    643.52x = 887.82 × 410.24
  4. Step 4: Simplify right side
    643.52x = 364,219.28
  5. Step 5: Solve for x
    x = 364,219.28/643.52
  6. Step 6: Final answer
    x = 565.98

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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.