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Finding the Fourth Proportional to 460.90, 691.62 and 314.60

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Solution

The fourth proportional to 460.90, 691.62 and 314.60 is: 472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.90 : 691.62 = 314.60 : x
  2. Step 2: Convert to fraction form
    460.90/691.62 = 314.60/x
  3. Step 3: Cross multiply
    460.90x = 691.62 × 314.60
  4. Step 4: Simplify right side
    460.90x = 217,582.08
  5. Step 5: Solve for x
    x = 217,582.08/460.90
  6. Step 6: Final answer
    x = 472.09

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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.