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Finding the Fourth Proportional to 512.42, 706.90 and 315.82

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Solution

The fourth proportional to 512.42, 706.90 and 315.82 is: 435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 706.90 = 315.82 : x
  2. Step 2: Convert to fraction form
    512.42/706.90 = 315.82/x
  3. Step 3: Cross multiply
    512.42x = 706.90 × 315.82
  4. Step 4: Simplify right side
    512.42x = 223,253.16
  5. Step 5: Solve for x
    x = 223,253.16/512.42
  6. Step 6: Final answer
    x = 435.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.