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Finding the Fourth Proportional to 656.59, 984.89 and 413.29

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Solution

The fourth proportional to 656.59, 984.89 and 413.29 is: 619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 984.89 = 413.29 : x
  2. Step 2: Convert to fraction form
    656.59/984.89 = 413.29/x
  3. Step 3: Cross multiply
    656.59x = 984.89 × 413.29
  4. Step 4: Simplify right side
    656.59x = 407,045.19
  5. Step 5: Solve for x
    x = 407,045.19/656.59
  6. Step 6: Final answer
    x = 619.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.