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Finding the Fourth Proportional to 512.41, 707.90 and 414

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Solution

The fourth proportional to 512.41, 707.90 and 414 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.41 : 707.90 = 414 : x
  2. Step 2: Convert to fraction form
    512.41/707.90 = 414/x
  3. Step 3: Cross multiply
    512.41x = 707.90 × 414
  4. Step 4: Simplify right side
    512.41x = 293,070.60
  5. Step 5: Solve for x
    x = 293,070.60/512.41
  6. Step 6: Final answer
    x = 571.95

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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.