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Finding the Fourth Proportional to 315.76, 470.48 and 281.68

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Solution

The fourth proportional to 315.76, 470.48 and 281.68 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 470.48 = 281.68 : x
  2. Step 2: Convert to fraction form
    315.76/470.48 = 281.68/x
  3. Step 3: Cross multiply
    315.76x = 470.48 × 281.68
  4. Step 4: Simplify right side
    315.76x = 132,524.81
  5. Step 5: Solve for x
    x = 132,524.81/315.76
  6. Step 6: Final answer
    x = 419.70

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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.