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Finding the Fourth Proportional to 465.90, 697.48 and 335.44

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Solution

The fourth proportional to 465.90, 697.48 and 335.44 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 697.48 = 335.44 : x
  2. Step 2: Convert to fraction form
    465.90/697.48 = 335.44/x
  3. Step 3: Cross multiply
    465.90x = 697.48 × 335.44
  4. Step 4: Simplify right side
    465.90x = 233,960.95
  5. Step 5: Solve for x
    x = 233,960.95/465.90
  6. Step 6: Final answer
    x = 502.17

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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.