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Finding the Fourth Proportional to 364.24, 502.40 and 216.76

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Solution

The fourth proportional to 364.24, 502.40 and 216.76 is: 298.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 502.40 = 216.76 : x
  2. Step 2: Convert to fraction form
    364.24/502.40 = 216.76/x
  3. Step 3: Cross multiply
    364.24x = 502.40 × 216.76
  4. Step 4: Simplify right side
    364.24x = 108,900.22
  5. Step 5: Solve for x
    x = 108,900.22/364.24
  6. Step 6: Final answer
    x = 298.98

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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.