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Finding the Fourth Proportional to 465.96, 697.54 and 282.78

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Solution

The fourth proportional to 465.96, 697.54 and 282.78 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 697.54 = 282.78 : x
  2. Step 2: Convert to fraction form
    465.96/697.54 = 282.78/x
  3. Step 3: Cross multiply
    465.96x = 697.54 × 282.78
  4. Step 4: Simplify right side
    465.96x = 197,250.36
  5. Step 5: Solve for x
    x = 197,250.36/465.96
  6. Step 6: Final answer
    x = 423.32

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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.