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Finding the Fourth Proportional to 617.06, 924.96 and 342.74

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Solution

The fourth proportional to 617.06, 924.96 and 342.74 is: 513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 924.96 = 342.74 : x
  2. Step 2: Convert to fraction form
    617.06/924.96 = 342.74/x
  3. Step 3: Cross multiply
    617.06x = 924.96 × 342.74
  4. Step 4: Simplify right side
    617.06x = 317,020.79
  5. Step 5: Solve for x
    x = 317,020.79/617.06
  6. Step 6: Final answer
    x = 513.76

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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.