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Finding the Fourth Proportional to 315.84, 470.76 and 308.91

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Solution

The fourth proportional to 315.84, 470.76 and 308.91 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.84 : 470.76 = 308.91 : x
  2. Step 2: Convert to fraction form
    315.84/470.76 = 308.91/x
  3. Step 3: Cross multiply
    315.84x = 470.76 × 308.91
  4. Step 4: Simplify right side
    315.84x = 145,422.47
  5. Step 5: Solve for x
    x = 145,422.47/315.84
  6. Step 6: Final answer
    x = 460.43

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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.