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Finding the Fourth Proportional to 867.84, 1,301.89 and 312.50

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Solution

The fourth proportional to 867.84, 1,301.89 and 312.50 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,301.89 = 312.50 : x
  2. Step 2: Convert to fraction form
    867.84/1,301.89 = 312.50/x
  3. Step 3: Cross multiply
    867.84x = 1,301.89 × 312.50
  4. Step 4: Simplify right side
    867.84x = 406,843.10
  5. Step 5: Solve for x
    x = 406,843.10/867.84
  6. Step 6: Final answer
    x = 468.80

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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.