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Finding the Fourth Proportional to 652.88, 900.91 and 404.11

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Solution

The fourth proportional to 652.88, 900.91 and 404.11 is: 557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.88 : 900.91 = 404.11 : x
  2. Step 2: Convert to fraction form
    652.88/900.91 = 404.11/x
  3. Step 3: Cross multiply
    652.88x = 900.91 × 404.11
  4. Step 4: Simplify right side
    652.88x = 364,067.75
  5. Step 5: Solve for x
    x = 364,067.75/652.88
  6. Step 6: Final answer
    x = 557.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.