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Finding the Fourth Proportional to 342.24, 512.64 and 315.60

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Solution

The fourth proportional to 342.24, 512.64 and 315.60 is: 472.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 512.64 = 315.60 : x
  2. Step 2: Convert to fraction form
    342.24/512.64 = 315.60/x
  3. Step 3: Cross multiply
    342.24x = 512.64 × 315.60
  4. Step 4: Simplify right side
    342.24x = 161,789.18
  5. Step 5: Solve for x
    x = 161,789.18/342.24
  6. Step 6: Final answer
    x = 472.74

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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.