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Finding the Fourth Proportional to 404.76, 558.42 and 265.08

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Solution

The fourth proportional to 404.76, 558.42 and 265.08 is: 365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 558.42 = 265.08 : x
  2. Step 2: Convert to fraction form
    404.76/558.42 = 265.08/x
  3. Step 3: Cross multiply
    404.76x = 558.42 × 265.08
  4. Step 4: Simplify right side
    404.76x = 148,025.97
  5. Step 5: Solve for x
    x = 148,025.97/404.76
  6. Step 6: Final answer
    x = 365.71

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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.