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Finding the Fourth Proportional to 460.10, 689.62 and 229.15

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Solution

The fourth proportional to 460.10, 689.62 and 229.15 is: 343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 689.62 = 229.15 : x
  2. Step 2: Convert to fraction form
    460.10/689.62 = 229.15/x
  3. Step 3: Cross multiply
    460.10x = 689.62 × 229.15
  4. Step 4: Simplify right side
    460.10x = 158,026.42
  5. Step 5: Solve for x
    x = 158,026.42/460.10
  6. Step 6: Final answer
    x = 343.46

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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.