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Finding the Fourth Proportional to 519.74, 716.57 and 434.61

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Solution

The fourth proportional to 519.74, 716.57 and 434.61 is: 599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.74 : 716.57 = 434.61 : x
  2. Step 2: Convert to fraction form
    519.74/716.57 = 434.61/x
  3. Step 3: Cross multiply
    519.74x = 716.57 × 434.61
  4. Step 4: Simplify right side
    519.74x = 311,426.31
  5. Step 5: Solve for x
    x = 311,426.31/519.74
  6. Step 6: Final answer
    x = 599.20

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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.