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Finding the Fourth Proportional to 867.42, 1,301.15 and 312.17

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Solution

The fourth proportional to 867.42, 1,301.15 and 312.17 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.42 : 1,301.15 = 312.17 : x
  2. Step 2: Convert to fraction form
    867.42/1,301.15 = 312.17/x
  3. Step 3: Cross multiply
    867.42x = 1,301.15 × 312.17
  4. Step 4: Simplify right side
    867.42x = 406,171.93
  5. Step 5: Solve for x
    x = 406,171.93/867.42
  6. Step 6: Final answer
    x = 468.25

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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.