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Finding the Fourth Proportional to 552.29, 761.82 and 421.07

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Solution

The fourth proportional to 552.29, 761.82 and 421.07 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.29 : 761.82 = 421.07 : x
  2. Step 2: Convert to fraction form
    552.29/761.82 = 421.07/x
  3. Step 3: Cross multiply
    552.29x = 761.82 × 421.07
  4. Step 4: Simplify right side
    552.29x = 320,779.55
  5. Step 5: Solve for x
    x = 320,779.55/552.29
  6. Step 6: Final answer
    x = 580.82

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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.