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Finding the Fourth Proportional to 500.58, 691.74 and 413.10

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Solution

The fourth proportional to 500.58, 691.74 and 413.10 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.58 : 691.74 = 413.10 : x
  2. Step 2: Convert to fraction form
    500.58/691.74 = 413.10/x
  3. Step 3: Cross multiply
    500.58x = 691.74 × 413.10
  4. Step 4: Simplify right side
    500.58x = 285,757.79
  5. Step 5: Solve for x
    x = 285,757.79/500.58
  6. Step 6: Final answer
    x = 570.85

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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.