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Finding the Fourth Proportional to 867.82, 1,301.58 and 347.88

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Solution

The fourth proportional to 867.82, 1,301.58 and 347.88 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.82 : 1,301.58 = 347.88 : x
  2. Step 2: Convert to fraction form
    867.82/1,301.58 = 347.88/x
  3. Step 3: Cross multiply
    867.82x = 1,301.58 × 347.88
  4. Step 4: Simplify right side
    867.82x = 452,793.65
  5. Step 5: Solve for x
    x = 452,793.65/867.82
  6. Step 6: Final answer
    x = 521.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.