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Finding the Fourth Proportional to 865.50, 1,298.25 and 352.50

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Solution

The fourth proportional to 865.50, 1,298.25 and 352.50 is: 528.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.50 : 1,298.25 = 352.50 : x
  2. Step 2: Convert to fraction form
    865.50/1,298.25 = 352.50/x
  3. Step 3: Cross multiply
    865.50x = 1,298.25 × 352.50
  4. Step 4: Simplify right side
    865.50x = 457,633.13
  5. Step 5: Solve for x
    x = 457,633.13/865.50
  6. Step 6: Final answer
    x = 528.75

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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.