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Finding the Fourth Proportional to 384.64, 529.19 and 335.63

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Solution

The fourth proportional to 384.64, 529.19 and 335.63 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 529.19 = 335.63 : x
  2. Step 2: Convert to fraction form
    384.64/529.19 = 335.63/x
  3. Step 3: Cross multiply
    384.64x = 529.19 × 335.63
  4. Step 4: Simplify right side
    384.64x = 177,612.04
  5. Step 5: Solve for x
    x = 177,612.04/384.64
  6. Step 6: Final answer
    x = 461.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.