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Finding the Fourth Proportional to 652.06, 978.09 and 286.85

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Solution

The fourth proportional to 652.06, 978.09 and 286.85 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 978.09 = 286.85 : x
  2. Step 2: Convert to fraction form
    652.06/978.09 = 286.85/x
  3. Step 3: Cross multiply
    652.06x = 978.09 × 286.85
  4. Step 4: Simplify right side
    652.06x = 280,565.12
  5. Step 5: Solve for x
    x = 280,565.12/652.06
  6. Step 6: Final answer
    x = 430.28

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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.