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Finding the Fourth Proportional to 552.00, 761.62 and 404.38

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Solution

The fourth proportional to 552.00, 761.62 and 404.38 is: 557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.00 : 761.62 = 404.38 : x
  2. Step 2: Convert to fraction form
    552.00/761.62 = 404.38/x
  3. Step 3: Cross multiply
    552.00x = 761.62 × 404.38
  4. Step 4: Simplify right side
    552.00x = 307,980.31
  5. Step 5: Solve for x
    x = 307,980.31/552.00
  6. Step 6: Final answer
    x = 557.94

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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.