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Finding the Fourth Proportional to 465.29, 697.83 and 140.58

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Solution

The fourth proportional to 465.29, 697.83 and 140.58 is: 210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.29 : 697.83 = 140.58 : x
  2. Step 2: Convert to fraction form
    465.29/697.83 = 140.58/x
  3. Step 3: Cross multiply
    465.29x = 697.83 × 140.58
  4. Step 4: Simplify right side
    465.29x = 98,097.80
  5. Step 5: Solve for x
    x = 98,097.80/465.29
  6. Step 6: Final answer
    x = 210.83

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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.