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Finding the Fourth Proportional to 512.58, 706.92 and 346.80

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Solution

The fourth proportional to 512.58, 706.92 and 346.80 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 706.92 = 346.80 : x
  2. Step 2: Convert to fraction form
    512.58/706.92 = 346.80/x
  3. Step 3: Cross multiply
    512.58x = 706.92 × 346.80
  4. Step 4: Simplify right side
    512.58x = 245,159.86
  5. Step 5: Solve for x
    x = 245,159.86/512.58
  6. Step 6: Final answer
    x = 478.29

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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.