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Finding the Fourth Proportional to 385.42, 578.04 and 111.46

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Solution

The fourth proportional to 385.42, 578.04 and 111.46 is: 167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.42 : 578.04 = 111.46 : x
  2. Step 2: Convert to fraction form
    385.42/578.04 = 111.46/x
  3. Step 3: Cross multiply
    385.42x = 578.04 × 111.46
  4. Step 4: Simplify right side
    385.42x = 64,428.34
  5. Step 5: Solve for x
    x = 64,428.34/385.42
  6. Step 6: Final answer
    x = 167.16

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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.