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Finding the Fourth Proportional to 423.29, 633.71 and 313.13

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Solution

The fourth proportional to 423.29, 633.71 and 313.13 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 633.71 = 313.13 : x
  2. Step 2: Convert to fraction form
    423.29/633.71 = 313.13/x
  3. Step 3: Cross multiply
    423.29x = 633.71 × 313.13
  4. Step 4: Simplify right side
    423.29x = 198,431.23
  5. Step 5: Solve for x
    x = 198,431.23/423.29
  6. Step 6: Final answer
    x = 468.79

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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.