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Finding the Fourth Proportional to 666.65, 1,000.17 and 342.24

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Solution

The fourth proportional to 666.65, 1,000.17 and 342.24 is: 513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.65 : 1,000.17 = 342.24 : x
  2. Step 2: Convert to fraction form
    666.65/1,000.17 = 342.24/x
  3. Step 3: Cross multiply
    666.65x = 1,000.17 × 342.24
  4. Step 4: Simplify right side
    666.65x = 342,298.18
  5. Step 5: Solve for x
    x = 342,298.18/666.65
  6. Step 6: Final answer
    x = 513.46

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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.