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Finding the Fourth Proportional to 465.68, 697.62 and 350.88

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Solution

The fourth proportional to 465.68, 697.62 and 350.88 is: 525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 697.62 = 350.88 : x
  2. Step 2: Convert to fraction form
    465.68/697.62 = 350.88/x
  3. Step 3: Cross multiply
    465.68x = 697.62 × 350.88
  4. Step 4: Simplify right side
    465.68x = 244,780.91
  5. Step 5: Solve for x
    x = 244,780.91/465.68
  6. Step 6: Final answer
    x = 525.64

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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.