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Finding the Fourth Proportional to 465.13, 697.59 and 140.41

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Solution

The fourth proportional to 465.13, 697.59 and 140.41 is: 210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 697.59 = 140.41 : x
  2. Step 2: Convert to fraction form
    465.13/697.59 = 140.41/x
  3. Step 3: Cross multiply
    465.13x = 697.59 × 140.41
  4. Step 4: Simplify right side
    465.13x = 97,948.61
  5. Step 5: Solve for x
    x = 97,948.61/465.13
  6. Step 6: Final answer
    x = 210.58

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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.