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Finding the Fourth Proportional to 715.98, 987.59 and 464.23

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Solution

The fourth proportional to 715.98, 987.59 and 464.23 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 987.59 = 464.23 : x
  2. Step 2: Convert to fraction form
    715.98/987.59 = 464.23/x
  3. Step 3: Cross multiply
    715.98x = 987.59 × 464.23
  4. Step 4: Simplify right side
    715.98x = 458,468.91
  5. Step 5: Solve for x
    x = 458,468.91/715.98
  6. Step 6: Final answer
    x = 640.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.