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Finding the Fourth Proportional to 406.50, 610.16 and 297.15

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Solution

The fourth proportional to 406.50, 610.16 and 297.15 is: 446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.50 : 610.16 = 297.15 : x
  2. Step 2: Convert to fraction form
    406.50/610.16 = 297.15/x
  3. Step 3: Cross multiply
    406.50x = 610.16 × 297.15
  4. Step 4: Simplify right side
    406.50x = 181,309.04
  5. Step 5: Solve for x
    x = 181,309.04/406.50
  6. Step 6: Final answer
    x = 446.02

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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.