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Finding the Fourth Proportional to 465.48, 700.92 and 414.54

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Solution

The fourth proportional to 465.48, 700.92 and 414.54 is: 624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.48 : 700.92 = 414.54 : x
  2. Step 2: Convert to fraction form
    465.48/700.92 = 414.54/x
  3. Step 3: Cross multiply
    465.48x = 700.92 × 414.54
  4. Step 4: Simplify right side
    465.48x = 290,559.38
  5. Step 5: Solve for x
    x = 290,559.38/465.48
  6. Step 6: Final answer
    x = 624.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.