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Finding the Fourth Proportional to 364.65, 502.86 and 259.76

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Solution

The fourth proportional to 364.65, 502.86 and 259.76 is: 358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.65 : 502.86 = 259.76 : x
  2. Step 2: Convert to fraction form
    364.65/502.86 = 259.76/x
  3. Step 3: Cross multiply
    364.65x = 502.86 × 259.76
  4. Step 4: Simplify right side
    364.65x = 130,620.86
  5. Step 5: Solve for x
    x = 130,620.86/364.65
  6. Step 6: Final answer
    x = 358.21

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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.