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Finding the Fourth Proportional to 362.58, 500.40 and 215.25

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Solution

The fourth proportional to 362.58, 500.40 and 215.25 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.58 : 500.40 = 215.25 : x
  2. Step 2: Convert to fraction form
    362.58/500.40 = 215.25/x
  3. Step 3: Cross multiply
    362.58x = 500.40 × 215.25
  4. Step 4: Simplify right side
    362.58x = 107,711.10
  5. Step 5: Solve for x
    x = 107,711.10/362.58
  6. Step 6: Final answer
    x = 297.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.