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Finding the Fourth Proportional to 313.72, 469.89 and 258.76

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Solution

The fourth proportional to 313.72, 469.89 and 258.76 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 469.89 = 258.76 : x
  2. Step 2: Convert to fraction form
    313.72/469.89 = 258.76/x
  3. Step 3: Cross multiply
    313.72x = 469.89 × 258.76
  4. Step 4: Simplify right side
    313.72x = 121,585.71
  5. Step 5: Solve for x
    x = 121,585.71/313.72
  6. Step 6: Final answer
    x = 387.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.