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Finding the Fourth Proportional to 423.93, 635.49 and 313.77

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Solution

The fourth proportional to 423.93, 635.49 and 313.77 is: 470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.93 : 635.49 = 313.77 : x
  2. Step 2: Convert to fraction form
    423.93/635.49 = 313.77/x
  3. Step 3: Cross multiply
    423.93x = 635.49 × 313.77
  4. Step 4: Simplify right side
    423.93x = 199,397.70
  5. Step 5: Solve for x
    x = 199,397.70/423.93
  6. Step 6: Final answer
    x = 470.36

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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.