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Finding the Fourth Proportional to 512.29, 705.94 and 434.53

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Solution

The fourth proportional to 512.29, 705.94 and 434.53 is: 598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.29 : 705.94 = 434.53 : x
  2. Step 2: Convert to fraction form
    512.29/705.94 = 434.53/x
  3. Step 3: Cross multiply
    512.29x = 705.94 × 434.53
  4. Step 4: Simplify right side
    512.29x = 306,752.11
  5. Step 5: Solve for x
    x = 306,752.11/512.29
  6. Step 6: Final answer
    x = 598.79

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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.