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Finding the Fourth Proportional to 529.66, 789.22 and 506.08

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Solution

The fourth proportional to 529.66, 789.22 and 506.08 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.66 : 789.22 = 506.08 : x
  2. Step 2: Convert to fraction form
    529.66/789.22 = 506.08/x
  3. Step 3: Cross multiply
    529.66x = 789.22 × 506.08
  4. Step 4: Simplify right side
    529.66x = 399,408.46
  5. Step 5: Solve for x
    x = 399,408.46/529.66
  6. Step 6: Final answer
    x = 754.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.