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Finding the Fourth Proportional to 512.74, 707.52 and 380.02

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Solution

The fourth proportional to 512.74, 707.52 and 380.02 is: 524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.74 : 707.52 = 380.02 : x
  2. Step 2: Convert to fraction form
    512.74/707.52 = 380.02/x
  3. Step 3: Cross multiply
    512.74x = 707.52 × 380.02
  4. Step 4: Simplify right side
    512.74x = 268,871.75
  5. Step 5: Solve for x
    x = 268,871.75/512.74
  6. Step 6: Final answer
    x = 524.38

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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.