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Finding the Fourth Proportional to 652.48, 978.08 and 286.90

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Solution

The fourth proportional to 652.48, 978.08 and 286.90 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.48 : 978.08 = 286.90 : x
  2. Step 2: Convert to fraction form
    652.48/978.08 = 286.90/x
  3. Step 3: Cross multiply
    652.48x = 978.08 × 286.90
  4. Step 4: Simplify right side
    652.48x = 280,611.15
  5. Step 5: Solve for x
    x = 280,611.15/652.48
  6. Step 6: Final answer
    x = 430.07

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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.