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Finding the Fourth Proportional to 552.68, 761.84 and 434.36

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Solution

The fourth proportional to 552.68, 761.84 and 434.36 is: 598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.68 : 761.84 = 434.36 : x
  2. Step 2: Convert to fraction form
    552.68/761.84 = 434.36/x
  3. Step 3: Cross multiply
    552.68x = 761.84 × 434.36
  4. Step 4: Simplify right side
    552.68x = 330,912.82
  5. Step 5: Solve for x
    x = 330,912.82/552.68
  6. Step 6: Final answer
    x = 598.74

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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.