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Finding the Fourth Proportional to 460.36, 691.12 and 278.11

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Solution

The fourth proportional to 460.36, 691.12 and 278.11 is: 417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.36 : 691.12 = 278.11 : x
  2. Step 2: Convert to fraction form
    460.36/691.12 = 278.11/x
  3. Step 3: Cross multiply
    460.36x = 691.12 × 278.11
  4. Step 4: Simplify right side
    460.36x = 192,203.93
  5. Step 5: Solve for x
    x = 192,203.93/460.36
  6. Step 6: Final answer
    x = 417.51

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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.