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Finding the Fourth Proportional to 617.22, 924.41 and 442.80

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Solution

The fourth proportional to 617.22, 924.41 and 442.80 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 924.41 = 442.80 : x
  2. Step 2: Convert to fraction form
    617.22/924.41 = 442.80/x
  3. Step 3: Cross multiply
    617.22x = 924.41 × 442.80
  4. Step 4: Simplify right side
    617.22x = 409,326.53
  5. Step 5: Solve for x
    x = 409,326.53/617.22
  6. Step 6: Final answer
    x = 663.18

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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.