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Finding the Fourth Proportional to 575.08, 794.13 and 418.61

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Solution

The fourth proportional to 575.08, 794.13 and 418.61 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.08 : 794.13 = 418.61 : x
  2. Step 2: Convert to fraction form
    575.08/794.13 = 418.61/x
  3. Step 3: Cross multiply
    575.08x = 794.13 × 418.61
  4. Step 4: Simplify right side
    575.08x = 332,430.76
  5. Step 5: Solve for x
    x = 332,430.76/575.08
  6. Step 6: Final answer
    x = 578.06

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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.