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Finding the Fourth Proportional to 384.32, 577.02 and 366.92

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Solution

The fourth proportional to 384.32, 577.02 and 366.92 is: 550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 577.02 = 366.92 : x
  2. Step 2: Convert to fraction form
    384.32/577.02 = 366.92/x
  3. Step 3: Cross multiply
    384.32x = 577.02 × 366.92
  4. Step 4: Simplify right side
    384.32x = 211,720.18
  5. Step 5: Solve for x
    x = 211,720.18/384.32
  6. Step 6: Final answer
    x = 550.90

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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.