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Finding the Fourth Proportional to 587.62, 810.57 and 413.74

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Solution

The fourth proportional to 587.62, 810.57 and 413.74 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.62 : 810.57 = 413.74 : x
  2. Step 2: Convert to fraction form
    587.62/810.57 = 413.74/x
  3. Step 3: Cross multiply
    587.62x = 810.57 × 413.74
  4. Step 4: Simplify right side
    587.62x = 335,365.23
  5. Step 5: Solve for x
    x = 335,365.23/587.62
  6. Step 6: Final answer
    x = 570.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.