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Finding the Fourth Proportional to 617.19, 924.76 and 343.13

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Solution

The fourth proportional to 617.19, 924.76 and 343.13 is: 514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.19 : 924.76 = 343.13 : x
  2. Step 2: Convert to fraction form
    617.19/924.76 = 343.13/x
  3. Step 3: Cross multiply
    617.19x = 924.76 × 343.13
  4. Step 4: Simplify right side
    617.19x = 317,311.18
  5. Step 5: Solve for x
    x = 317,311.18/617.19
  6. Step 6: Final answer
    x = 514.12

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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.