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Finding the Fourth Proportional to 656.34, 984.53 and 413.07

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Solution

The fourth proportional to 656.34, 984.53 and 413.07 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.34 : 984.53 = 413.07 : x
  2. Step 2: Convert to fraction form
    656.34/984.53 = 413.07/x
  3. Step 3: Cross multiply
    656.34x = 984.53 × 413.07
  4. Step 4: Simplify right side
    656.34x = 406,679.81
  5. Step 5: Solve for x
    x = 406,679.81/656.34
  6. Step 6: Final answer
    x = 619.62

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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.