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Finding the Fourth Proportional to 364.30, 502.81 and 259.94

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Solution

The fourth proportional to 364.30, 502.81 and 259.94 is: 358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.30 : 502.81 = 259.94 : x
  2. Step 2: Convert to fraction form
    364.30/502.81 = 259.94/x
  3. Step 3: Cross multiply
    364.30x = 502.81 × 259.94
  4. Step 4: Simplify right side
    364.30x = 130,701.04
  5. Step 5: Solve for x
    x = 130,701.04/364.30
  6. Step 6: Final answer
    x = 358.78

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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.