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Finding the Fourth Proportional to 587.25, 881.08 and 424.64

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Solution

The fourth proportional to 587.25, 881.08 and 424.64 is: 637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 881.08 = 424.64 : x
  2. Step 2: Convert to fraction form
    587.25/881.08 = 424.64/x
  3. Step 3: Cross multiply
    587.25x = 881.08 × 424.64
  4. Step 4: Simplify right side
    587.25x = 374,142.95
  5. Step 5: Solve for x
    x = 374,142.95/587.25
  6. Step 6: Final answer
    x = 637.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.