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Finding the Fourth Proportional to 465.42, 697.17 and 310.98

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Solution

The fourth proportional to 465.42, 697.17 and 310.98 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 697.17 = 310.98 : x
  2. Step 2: Convert to fraction form
    465.42/697.17 = 310.98/x
  3. Step 3: Cross multiply
    465.42x = 697.17 × 310.98
  4. Step 4: Simplify right side
    465.42x = 216,805.93
  5. Step 5: Solve for x
    x = 216,805.93/465.42
  6. Step 6: Final answer
    x = 465.83

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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.