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Finding the Fourth Proportional to 512.95, 707.41 and 434.43

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Solution

The fourth proportional to 512.95, 707.41 and 434.43 is: 599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.95 : 707.41 = 434.43 : x
  2. Step 2: Convert to fraction form
    512.95/707.41 = 434.43/x
  3. Step 3: Cross multiply
    512.95x = 707.41 × 434.43
  4. Step 4: Simplify right side
    512.95x = 307,320.13
  5. Step 5: Solve for x
    x = 307,320.13/512.95
  6. Step 6: Final answer
    x = 599.12

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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.