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Finding the Fourth Proportional to 642.47, 886.83 and 406.58

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Solution

The fourth proportional to 642.47, 886.83 and 406.58 is: 561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.47 : 886.83 = 406.58 : x
  2. Step 2: Convert to fraction form
    642.47/886.83 = 406.58/x
  3. Step 3: Cross multiply
    642.47x = 886.83 × 406.58
  4. Step 4: Simplify right side
    642.47x = 360,567.34
  5. Step 5: Solve for x
    x = 360,567.34/642.47
  6. Step 6: Final answer
    x = 561.22

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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.