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Finding the Fourth Proportional to 460.99, 691.51 and 229.64

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Solution

The fourth proportional to 460.99, 691.51 and 229.64 is: 344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 691.51 = 229.64 : x
  2. Step 2: Convert to fraction form
    460.99/691.51 = 229.64/x
  3. Step 3: Cross multiply
    460.99x = 691.51 × 229.64
  4. Step 4: Simplify right side
    460.99x = 158,798.36
  5. Step 5: Solve for x
    x = 158,798.36/460.99
  6. Step 6: Final answer
    x = 344.48

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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.