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Finding the Fourth Proportional to 610.32, 913.80 and 465.36

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Solution

The fourth proportional to 610.32, 913.80 and 465.36 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.32 : 913.80 = 465.36 : x
  2. Step 2: Convert to fraction form
    610.32/913.80 = 465.36/x
  3. Step 3: Cross multiply
    610.32x = 913.80 × 465.36
  4. Step 4: Simplify right side
    610.32x = 425,245.97
  5. Step 5: Solve for x
    x = 425,245.97/610.32
  6. Step 6: Final answer
    x = 696.76

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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.