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Finding the Fourth Proportional to 865.08, 1,296.88 and 316.98

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Solution

The fourth proportional to 865.08, 1,296.88 and 316.98 is: 475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,296.88 = 316.98 : x
  2. Step 2: Convert to fraction form
    865.08/1,296.88 = 316.98/x
  3. Step 3: Cross multiply
    865.08x = 1,296.88 × 316.98
  4. Step 4: Simplify right side
    865.08x = 411,084.23
  5. Step 5: Solve for x
    x = 411,084.23/865.08
  6. Step 6: Final answer
    x = 475.20

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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.