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Finding the Fourth Proportional to 313.70, 470.73 and 260.24

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Solution

The fourth proportional to 313.70, 470.73 and 260.24 is: 390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 470.73 = 260.24 : x
  2. Step 2: Convert to fraction form
    313.70/470.73 = 260.24/x
  3. Step 3: Cross multiply
    313.70x = 470.73 × 260.24
  4. Step 4: Simplify right side
    313.70x = 122,502.78
  5. Step 5: Solve for x
    x = 122,502.78/313.70
  6. Step 6: Final answer
    x = 390.51

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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.