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Finding the Fourth Proportional to 316.44, 473.76 and 275.76

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Solution

The fourth proportional to 316.44, 473.76 and 275.76 is: 412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 473.76 = 275.76 : x
  2. Step 2: Convert to fraction form
    316.44/473.76 = 275.76/x
  3. Step 3: Cross multiply
    316.44x = 473.76 × 275.76
  4. Step 4: Simplify right side
    316.44x = 130,644.06
  5. Step 5: Solve for x
    x = 130,644.06/316.44
  6. Step 6: Final answer
    x = 412.86

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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.