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Finding the Fourth Proportional to 578.78, 867.05 and 435.10

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Solution

The fourth proportional to 578.78, 867.05 and 435.10 is: 651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 867.05 = 435.10 : x
  2. Step 2: Convert to fraction form
    578.78/867.05 = 435.10/x
  3. Step 3: Cross multiply
    578.78x = 867.05 × 435.10
  4. Step 4: Simplify right side
    578.78x = 377,253.46
  5. Step 5: Solve for x
    x = 377,253.46/578.78
  6. Step 6: Final answer
    x = 651.81

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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.