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Finding the Fourth Proportional to 552.20, 761.42 and 434.18

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Solution

The fourth proportional to 552.20, 761.42 and 434.18 is: 598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.20 : 761.42 = 434.18 : x
  2. Step 2: Convert to fraction form
    552.20/761.42 = 434.18/x
  3. Step 3: Cross multiply
    552.20x = 761.42 × 434.18
  4. Step 4: Simplify right side
    552.20x = 330,596.32
  5. Step 5: Solve for x
    x = 330,596.32/552.20
  6. Step 6: Final answer
    x = 598.69

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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.