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Finding the Fourth Proportional to 815.31, 1,222.16 and 429.75

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Solution

The fourth proportional to 815.31, 1,222.16 and 429.75 is: 644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.31 : 1,222.16 = 429.75 : x
  2. Step 2: Convert to fraction form
    815.31/1,222.16 = 429.75/x
  3. Step 3: Cross multiply
    815.31x = 1,222.16 × 429.75
  4. Step 4: Simplify right side
    815.31x = 525,221.11
  5. Step 5: Solve for x
    x = 525,221.11/815.31
  6. Step 6: Final answer
    x = 644.20

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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.