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Finding the Fourth Proportional to 384.60, 577.08 and 378.12

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Solution

The fourth proportional to 384.60, 577.08 and 378.12 is: 567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.60 : 577.08 = 378.12 : x
  2. Step 2: Convert to fraction form
    384.60/577.08 = 378.12/x
  3. Step 3: Cross multiply
    384.60x = 577.08 × 378.12
  4. Step 4: Simplify right side
    384.60x = 218,205.49
  5. Step 5: Solve for x
    x = 218,205.49/384.60
  6. Step 6: Final answer
    x = 567.36

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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.