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Finding the Fourth Proportional to 864.66, 1,295.96 and 316.19

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Solution

The fourth proportional to 864.66, 1,295.96 and 316.19 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.66 : 1,295.96 = 316.19 : x
  2. Step 2: Convert to fraction form
    864.66/1,295.96 = 316.19/x
  3. Step 3: Cross multiply
    864.66x = 1,295.96 × 316.19
  4. Step 4: Simplify right side
    864.66x = 409,771.25
  5. Step 5: Solve for x
    x = 409,771.25/864.66
  6. Step 6: Final answer
    x = 473.91

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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.