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Finding the Fourth Proportional to 424.52, 635.96 and 313.14

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Solution

The fourth proportional to 424.52, 635.96 and 313.14 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.52 : 635.96 = 313.14 : x
  2. Step 2: Convert to fraction form
    424.52/635.96 = 313.14/x
  3. Step 3: Cross multiply
    424.52x = 635.96 × 313.14
  4. Step 4: Simplify right side
    424.52x = 199,144.51
  5. Step 5: Solve for x
    x = 199,144.51/424.52
  6. Step 6: Final answer
    x = 469.11

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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.