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Finding the Fourth Proportional to 652.50, 976.32 and 407.88

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Solution

The fourth proportional to 652.50, 976.32 and 407.88 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 976.32 = 407.88 : x
  2. Step 2: Convert to fraction form
    652.50/976.32 = 407.88/x
  3. Step 3: Cross multiply
    652.50x = 976.32 × 407.88
  4. Step 4: Simplify right side
    652.50x = 398,221.40
  5. Step 5: Solve for x
    x = 398,221.40/652.50
  6. Step 6: Final answer
    x = 610.30

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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.