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Finding the Fourth Proportional to 672.19, 1,008.10 and 282.11

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Solution

The fourth proportional to 672.19, 1,008.10 and 282.11 is: 423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.19 : 1,008.10 = 282.11 : x
  2. Step 2: Convert to fraction form
    672.19/1,008.10 = 282.11/x
  3. Step 3: Cross multiply
    672.19x = 1,008.10 × 282.11
  4. Step 4: Simplify right side
    672.19x = 284,388.82
  5. Step 5: Solve for x
    x = 284,388.82/672.19
  6. Step 6: Final answer
    x = 423.08

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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.