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Finding the Fourth Proportional to 500.72, 690.54 and 413.24

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Solution

The fourth proportional to 500.72, 690.54 and 413.24 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.72 : 690.54 = 413.24 : x
  2. Step 2: Convert to fraction form
    500.72/690.54 = 413.24/x
  3. Step 3: Cross multiply
    500.72x = 690.54 × 413.24
  4. Step 4: Simplify right side
    500.72x = 285,358.75
  5. Step 5: Solve for x
    x = 285,358.75/500.72
  6. Step 6: Final answer
    x = 569.90

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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.