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Finding the Fourth Proportional to 460.95, 691.62 and 229.83

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Solution

The fourth proportional to 460.95, 691.62 and 229.83 is: 344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.95 : 691.62 = 229.83 : x
  2. Step 2: Convert to fraction form
    460.95/691.62 = 229.83/x
  3. Step 3: Cross multiply
    460.95x = 691.62 × 229.83
  4. Step 4: Simplify right side
    460.95x = 158,955.02
  5. Step 5: Solve for x
    x = 158,955.02/460.95
  6. Step 6: Final answer
    x = 344.84

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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.