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Finding the Fourth Proportional to 465.65, 698.09 and 260.29

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Solution

The fourth proportional to 465.65, 698.09 and 260.29 is: 390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.65 : 698.09 = 260.29 : x
  2. Step 2: Convert to fraction form
    465.65/698.09 = 260.29/x
  3. Step 3: Cross multiply
    465.65x = 698.09 × 260.29
  4. Step 4: Simplify right side
    465.65x = 181,702.80
  5. Step 5: Solve for x
    x = 181,702.80/465.65
  6. Step 6: Final answer
    x = 390.21

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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.