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Finding the Fourth Proportional to 587.41, 877.92 and 464.39

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Solution

The fourth proportional to 587.41, 877.92 and 464.39 is: 694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.41 : 877.92 = 464.39 : x
  2. Step 2: Convert to fraction form
    587.41/877.92 = 464.39/x
  3. Step 3: Cross multiply
    587.41x = 877.92 × 464.39
  4. Step 4: Simplify right side
    587.41x = 407,694.43
  5. Step 5: Solve for x
    x = 407,694.43/587.41
  6. Step 6: Final answer
    x = 694.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.