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Finding the Fourth Proportional to 416.60, 575.53 and 413.36

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Solution

The fourth proportional to 416.60, 575.53 and 413.36 is: 571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.60 : 575.53 = 413.36 : x
  2. Step 2: Convert to fraction form
    416.60/575.53 = 413.36/x
  3. Step 3: Cross multiply
    416.60x = 575.53 × 413.36
  4. Step 4: Simplify right side
    416.60x = 237,897.17
  5. Step 5: Solve for x
    x = 237,897.17/416.60
  6. Step 6: Final answer
    x = 571.05

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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.