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Finding the Fourth Proportional to 864.42, 1,295.47 and 316.08

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Solution

The fourth proportional to 864.42, 1,295.47 and 316.08 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,295.47 = 316.08 : x
  2. Step 2: Convert to fraction form
    864.42/1,295.47 = 316.08/x
  3. Step 3: Cross multiply
    864.42x = 1,295.47 × 316.08
  4. Step 4: Simplify right side
    864.42x = 409,472.16
  5. Step 5: Solve for x
    x = 409,472.16/864.42
  6. Step 6: Final answer
    x = 473.70

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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.