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Finding the Fourth Proportional to 364.38, 502.93 and 224.59

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Solution

The fourth proportional to 364.38, 502.93 and 224.59 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 502.93 = 224.59 : x
  2. Step 2: Convert to fraction form
    364.38/502.93 = 224.59/x
  3. Step 3: Cross multiply
    364.38x = 502.93 × 224.59
  4. Step 4: Simplify right side
    364.38x = 112,950.53
  5. Step 5: Solve for x
    x = 112,950.53/364.38
  6. Step 6: Final answer
    x = 309.98

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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.