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Finding the Fourth Proportional to 423.77, 635.57 and 146.08

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Solution

The fourth proportional to 423.77, 635.57 and 146.08 is: 219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.77 : 635.57 = 146.08 : x
  2. Step 2: Convert to fraction form
    423.77/635.57 = 146.08/x
  3. Step 3: Cross multiply
    423.77x = 635.57 × 146.08
  4. Step 4: Simplify right side
    423.77x = 92,840.16
  5. Step 5: Solve for x
    x = 92,840.16/423.77
  6. Step 6: Final answer
    x = 219.08

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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.