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Finding the Fourth Proportional to 384.54, 577.92 and 263.52

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Solution

The fourth proportional to 384.54, 577.92 and 263.52 is: 396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 577.92 = 263.52 : x
  2. Step 2: Convert to fraction form
    384.54/577.92 = 263.52/x
  3. Step 3: Cross multiply
    384.54x = 577.92 × 263.52
  4. Step 4: Simplify right side
    384.54x = 152,293.48
  5. Step 5: Solve for x
    x = 152,293.48/384.54
  6. Step 6: Final answer
    x = 396.04

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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.