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Finding the Fourth Proportional to 465.97, 697.69 and 336.10

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Solution

The fourth proportional to 465.97, 697.69 and 336.10 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.97 : 697.69 = 336.10 : x
  2. Step 2: Convert to fraction form
    465.97/697.69 = 336.10/x
  3. Step 3: Cross multiply
    465.97x = 697.69 × 336.10
  4. Step 4: Simplify right side
    465.97x = 234,493.61
  5. Step 5: Solve for x
    x = 234,493.61/465.97
  6. Step 6: Final answer
    x = 503.24

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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.