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Finding the Fourth Proportional to 413.17, 616.73 and 383.13

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Solution

The fourth proportional to 413.17, 616.73 and 383.13 is: 571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.17 : 616.73 = 383.13 : x
  2. Step 2: Convert to fraction form
    413.17/616.73 = 383.13/x
  3. Step 3: Cross multiply
    413.17x = 616.73 × 383.13
  4. Step 4: Simplify right side
    413.17x = 236,287.76
  5. Step 5: Solve for x
    x = 236,287.76/413.17
  6. Step 6: Final answer
    x = 571.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.