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Finding the Fourth Proportional to 617.09, 924.39 and 463.19

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Solution

The fourth proportional to 617.09, 924.39 and 463.19 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 924.39 = 463.19 : x
  2. Step 2: Convert to fraction form
    617.09/924.39 = 463.19/x
  3. Step 3: Cross multiply
    617.09x = 924.39 × 463.19
  4. Step 4: Simplify right side
    617.09x = 428,163.58
  5. Step 5: Solve for x
    x = 428,163.58/617.09
  6. Step 6: Final answer
    x = 693.85

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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.