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Finding the Fourth Proportional to 617.91, 924.84 and 444.03

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Solution

The fourth proportional to 617.91, 924.84 and 444.03 is: 664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 924.84 = 444.03 : x
  2. Step 2: Convert to fraction form
    617.91/924.84 = 444.03/x
  3. Step 3: Cross multiply
    617.91x = 924.84 × 444.03
  4. Step 4: Simplify right side
    617.91x = 410,656.71
  5. Step 5: Solve for x
    x = 410,656.71/617.91
  6. Step 6: Final answer
    x = 664.59

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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.