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Finding the Fourth Proportional to 458.16, 686.76 and 230

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Solution

The fourth proportional to 458.16, 686.76 and 230 is: 344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.16 : 686.76 = 230 : x
  2. Step 2: Convert to fraction form
    458.16/686.76 = 230/x
  3. Step 3: Cross multiply
    458.16x = 686.76 × 230
  4. Step 4: Simplify right side
    458.16x = 157,954.80
  5. Step 5: Solve for x
    x = 157,954.80/458.16
  6. Step 6: Final answer
    x = 344.76

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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.