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Finding the Fourth Proportional to 867.61, 1,300.60 and 319.42

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Solution

The fourth proportional to 867.61, 1,300.60 and 319.42 is: 478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.61 : 1,300.60 = 319.42 : x
  2. Step 2: Convert to fraction form
    867.61/1,300.60 = 319.42/x
  3. Step 3: Cross multiply
    867.61x = 1,300.60 × 319.42
  4. Step 4: Simplify right side
    867.61x = 415,437.65
  5. Step 5: Solve for x
    x = 415,437.65/867.61
  6. Step 6: Final answer
    x = 478.83

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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.