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Finding the Fourth Proportional to 384.16, 529.86 and 371.46

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Solution

The fourth proportional to 384.16, 529.86 and 371.46 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 529.86 = 371.46 : x
  2. Step 2: Convert to fraction form
    384.16/529.86 = 371.46/x
  3. Step 3: Cross multiply
    384.16x = 529.86 × 371.46
  4. Step 4: Simplify right side
    384.16x = 196,821.80
  5. Step 5: Solve for x
    x = 196,821.80/384.16
  6. Step 6: Final answer
    x = 512.34

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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.