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Finding the Fourth Proportional to 465.75, 698.04 and 407.83

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Solution

The fourth proportional to 465.75, 698.04 and 407.83 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 698.04 = 407.83 : x
  2. Step 2: Convert to fraction form
    465.75/698.04 = 407.83/x
  3. Step 3: Cross multiply
    465.75x = 698.04 × 407.83
  4. Step 4: Simplify right side
    465.75x = 284,681.65
  5. Step 5: Solve for x
    x = 284,681.65/465.75
  6. Step 6: Final answer
    x = 611.23

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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.