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Finding the Fourth Proportional to 864.16, 1,295.16 and 431.44

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Solution

The fourth proportional to 864.16, 1,295.16 and 431.44 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.16 : 1,295.16 = 431.44 : x
  2. Step 2: Convert to fraction form
    864.16/1,295.16 = 431.44/x
  3. Step 3: Cross multiply
    864.16x = 1,295.16 × 431.44
  4. Step 4: Simplify right side
    864.16x = 558,783.83
  5. Step 5: Solve for x
    x = 558,783.83/864.16
  6. Step 6: Final answer
    x = 646.62

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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.