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Finding the Fourth Proportional to 587.78, 881.67 and 406.61

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Solution

The fourth proportional to 587.78, 881.67 and 406.61 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.78 : 881.67 = 406.61 : x
  2. Step 2: Convert to fraction form
    587.78/881.67 = 406.61/x
  3. Step 3: Cross multiply
    587.78x = 881.67 × 406.61
  4. Step 4: Simplify right side
    587.78x = 358,495.84
  5. Step 5: Solve for x
    x = 358,495.84/587.78
  6. Step 6: Final answer
    x = 609.92

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Why These Related Problems?

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