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Finding the Fourth Proportional to 581.57, 801.60 and 404.78

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Solution

The fourth proportional to 581.57, 801.60 and 404.78 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.57 : 801.60 = 404.78 : x
  2. Step 2: Convert to fraction form
    581.57/801.60 = 404.78/x
  3. Step 3: Cross multiply
    581.57x = 801.60 × 404.78
  4. Step 4: Simplify right side
    581.57x = 324,471.65
  5. Step 5: Solve for x
    x = 324,471.65/581.57
  6. Step 6: Final answer
    x = 557.93

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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.