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Finding the Fourth Proportional to 460.96, 691.32 and 278.26

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Solution

The fourth proportional to 460.96, 691.32 and 278.26 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 691.32 = 278.26 : x
  2. Step 2: Convert to fraction form
    460.96/691.32 = 278.26/x
  3. Step 3: Cross multiply
    460.96x = 691.32 × 278.26
  4. Step 4: Simplify right side
    460.96x = 192,366.70
  5. Step 5: Solve for x
    x = 192,366.70/460.96
  6. Step 6: Final answer
    x = 417.32

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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.