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Finding the Fourth Proportional to 581.22, 800.58 and 415.14

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Solution

The fourth proportional to 581.22, 800.58 and 415.14 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.22 : 800.58 = 415.14 : x
  2. Step 2: Convert to fraction form
    581.22/800.58 = 415.14/x
  3. Step 3: Cross multiply
    581.22x = 800.58 × 415.14
  4. Step 4: Simplify right side
    581.22x = 332,352.78
  5. Step 5: Solve for x
    x = 332,352.78/581.22
  6. Step 6: Final answer
    x = 571.82

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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.