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Finding the Fourth Proportional to 315.35, 469.50 and 310.79

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Solution

The fourth proportional to 315.35, 469.50 and 310.79 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 469.50 = 310.79 : x
  2. Step 2: Convert to fraction form
    315.35/469.50 = 310.79/x
  3. Step 3: Cross multiply
    315.35x = 469.50 × 310.79
  4. Step 4: Simplify right side
    315.35x = 145,917.08
  5. Step 5: Solve for x
    x = 145,917.08/315.35
  6. Step 6: Final answer
    x = 462.72

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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.