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Finding the Fourth Proportional to 642.63, 887.10 and 409.77

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Solution

The fourth proportional to 642.63, 887.10 and 409.77 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 887.10 = 409.77 : x
  2. Step 2: Convert to fraction form
    642.63/887.10 = 409.77/x
  3. Step 3: Cross multiply
    642.63x = 887.10 × 409.77
  4. Step 4: Simplify right side
    642.63x = 363,506.97
  5. Step 5: Solve for x
    x = 363,506.97/642.63
  6. Step 6: Final answer
    x = 565.66

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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.