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Finding the Fourth Proportional to 554.26, 829.98 and 467.38

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Solution

The fourth proportional to 554.26, 829.98 and 467.38 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.26 : 829.98 = 467.38 : x
  2. Step 2: Convert to fraction form
    554.26/829.98 = 467.38/x
  3. Step 3: Cross multiply
    554.26x = 829.98 × 467.38
  4. Step 4: Simplify right side
    554.26x = 387,916.05
  5. Step 5: Solve for x
    x = 387,916.05/554.26
  6. Step 6: Final answer
    x = 699.88

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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.