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Finding the Fourth Proportional to 661.68, 913.18 and 413.02

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Solution

The fourth proportional to 661.68, 913.18 and 413.02 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.68 : 913.18 = 413.02 : x
  2. Step 2: Convert to fraction form
    661.68/913.18 = 413.02/x
  3. Step 3: Cross multiply
    661.68x = 913.18 × 413.02
  4. Step 4: Simplify right side
    661.68x = 377,161.60
  5. Step 5: Solve for x
    x = 377,161.60/661.68
  6. Step 6: Final answer
    x = 570.01

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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.