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Finding the Fourth Proportional to 686.16, 1,029.08 and 230.16

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Solution

The fourth proportional to 686.16, 1,029.08 and 230.16 is: 345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 1,029.08 = 230.16 : x
  2. Step 2: Convert to fraction form
    686.16/1,029.08 = 230.16/x
  3. Step 3: Cross multiply
    686.16x = 1,029.08 × 230.16
  4. Step 4: Simplify right side
    686.16x = 236,853.05
  5. Step 5: Solve for x
    x = 236,853.05/686.16
  6. Step 6: Final answer
    x = 345.19

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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.