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Finding the Fourth Proportional to 384.60, 576.26 and 240.02

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Solution

The fourth proportional to 384.60, 576.26 and 240.02 is: 359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.60 : 576.26 = 240.02 : x
  2. Step 2: Convert to fraction form
    384.60/576.26 = 240.02/x
  3. Step 3: Cross multiply
    384.60x = 576.26 × 240.02
  4. Step 4: Simplify right side
    384.60x = 138,313.93
  5. Step 5: Solve for x
    x = 138,313.93/384.60
  6. Step 6: Final answer
    x = 359.63

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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.