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Finding the Fourth Proportional to 315.29, 470.26 and 309.83

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Solution

The fourth proportional to 315.29, 470.26 and 309.83 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.29 : 470.26 = 309.83 : x
  2. Step 2: Convert to fraction form
    315.29/470.26 = 309.83/x
  3. Step 3: Cross multiply
    315.29x = 470.26 × 309.83
  4. Step 4: Simplify right side
    315.29x = 145,698.69
  5. Step 5: Solve for x
    x = 145,698.69/315.29
  6. Step 6: Final answer
    x = 462.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.