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Finding the Fourth Proportional to 554, 830.29 and 423.52

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Solution

The fourth proportional to 554, 830.29 and 423.52 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    554 : 830.29 = 423.52 : x
  2. Step 2: Convert to fraction form
    554/830.29 = 423.52/x
  3. Step 3: Cross multiply
    554x = 830.29 × 423.52
  4. Step 4: Simplify right side
    554x = 351,644.42
  5. Step 5: Solve for x
    x = 351,644.42/554
  6. Step 6: Final answer
    x = 634.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.