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Finding the Fourth Proportional to 672.71, 1,009.16 and 210.43

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Solution

The fourth proportional to 672.71, 1,009.16 and 210.43 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 1,009.16 = 210.43 : x
  2. Step 2: Convert to fraction form
    672.71/1,009.16 = 210.43/x
  3. Step 3: Cross multiply
    672.71x = 1,009.16 × 210.43
  4. Step 4: Simplify right side
    672.71x = 212,358.54
  5. Step 5: Solve for x
    x = 212,358.54/672.71
  6. Step 6: Final answer
    x = 315.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.