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Finding the Fourth Proportional to 512.30, 706.75 and 315.90

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Solution

The fourth proportional to 512.30, 706.75 and 315.90 is: 435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 706.75 = 315.90 : x
  2. Step 2: Convert to fraction form
    512.30/706.75 = 315.90/x
  3. Step 3: Cross multiply
    512.30x = 706.75 × 315.90
  4. Step 4: Simplify right side
    512.30x = 223,262.33
  5. Step 5: Solve for x
    x = 223,262.33/512.30
  6. Step 6: Final answer
    x = 435.80

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1.5x scale

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.