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Finding the Fourth Proportional to 662.22, 913.98 and 430.02

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Solution

The fourth proportional to 662.22, 913.98 and 430.02 is: 593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.22 : 913.98 = 430.02 : x
  2. Step 2: Convert to fraction form
    662.22/913.98 = 430.02/x
  3. Step 3: Cross multiply
    662.22x = 913.98 × 430.02
  4. Step 4: Simplify right side
    662.22x = 393,029.68
  5. Step 5: Solve for x
    x = 393,029.68/662.22
  6. Step 6: Final answer
    x = 593.50

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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.