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Finding the Fourth Proportional to 385.54, 578.30 and 96.98

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Solution

The fourth proportional to 385.54, 578.30 and 96.98 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.54 : 578.30 = 96.98 : x
  2. Step 2: Convert to fraction form
    385.54/578.30 = 96.98/x
  3. Step 3: Cross multiply
    385.54x = 578.30 × 96.98
  4. Step 4: Simplify right side
    385.54x = 56,083.53
  5. Step 5: Solve for x
    x = 56,083.53/385.54
  6. Step 6: Final answer
    x = 145.47

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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.