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Finding the Fourth Proportional to 460.71, 691.47 and 298.58

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Solution

The fourth proportional to 460.71, 691.47 and 298.58 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.71 : 691.47 = 298.58 : x
  2. Step 2: Convert to fraction form
    460.71/691.47 = 298.58/x
  3. Step 3: Cross multiply
    460.71x = 691.47 × 298.58
  4. Step 4: Simplify right side
    460.71x = 206,455.66
  5. Step 5: Solve for x
    x = 206,455.66/460.71
  6. Step 6: Final answer
    x = 448.12

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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.