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Finding the Fourth Proportional to 423.41, 635.69 and 293.10

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Solution

The fourth proportional to 423.41, 635.69 and 293.10 is: 440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.41 : 635.69 = 293.10 : x
  2. Step 2: Convert to fraction form
    423.41/635.69 = 293.10/x
  3. Step 3: Cross multiply
    423.41x = 635.69 × 293.10
  4. Step 4: Simplify right side
    423.41x = 186,320.74
  5. Step 5: Solve for x
    x = 186,320.74/423.41
  6. Step 6: Final answer
    x = 440.05

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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.