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Finding the Fourth Proportional to 864.08, 1,295.79 and 370.44

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Solution

The fourth proportional to 864.08, 1,295.79 and 370.44 is: 555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.08 : 1,295.79 = 370.44 : x
  2. Step 2: Convert to fraction form
    864.08/1,295.79 = 370.44/x
  3. Step 3: Cross multiply
    864.08x = 1,295.79 × 370.44
  4. Step 4: Simplify right side
    864.08x = 480,012.45
  5. Step 5: Solve for x
    x = 480,012.45/864.08
  6. Step 6: Final answer
    x = 555.52

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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.