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Finding the Fourth Proportional to 383.64, 574.89 and 152.29

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Solution

The fourth proportional to 383.64, 574.89 and 152.29 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 574.89 = 152.29 : x
  2. Step 2: Convert to fraction form
    383.64/574.89 = 152.29/x
  3. Step 3: Cross multiply
    383.64x = 574.89 × 152.29
  4. Step 4: Simplify right side
    383.64x = 87,550.00
  5. Step 5: Solve for x
    x = 87,550.00/383.64
  6. Step 6: Final answer
    x = 228.21

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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.