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Finding the Fourth Proportional to 865.24, 1,298.04 and 378.16

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Solution

The fourth proportional to 865.24, 1,298.04 and 378.16 is: 567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.24 : 1,298.04 = 378.16 : x
  2. Step 2: Convert to fraction form
    865.24/1,298.04 = 378.16/x
  3. Step 3: Cross multiply
    865.24x = 1,298.04 × 378.16
  4. Step 4: Simplify right side
    865.24x = 490,866.81
  5. Step 5: Solve for x
    x = 490,866.81/865.24
  6. Step 6: Final answer
    x = 567.32

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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.