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Finding the Fourth Proportional to 617.04, 924.72 and 411.84

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Solution

The fourth proportional to 617.04, 924.72 and 411.84 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.04 : 924.72 = 411.84 : x
  2. Step 2: Convert to fraction form
    617.04/924.72 = 411.84/x
  3. Step 3: Cross multiply
    617.04x = 924.72 × 411.84
  4. Step 4: Simplify right side
    617.04x = 380,836.68
  5. Step 5: Solve for x
    x = 380,836.68/617.04
  6. Step 6: Final answer
    x = 617.20

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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.