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Finding the Fourth Proportional to 384.32, 529.24 and 343.12

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Solution

The fourth proportional to 384.32, 529.24 and 343.12 is: 472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 529.24 = 343.12 : x
  2. Step 2: Convert to fraction form
    384.32/529.24 = 343.12/x
  3. Step 3: Cross multiply
    384.32x = 529.24 × 343.12
  4. Step 4: Simplify right side
    384.32x = 181,592.83
  5. Step 5: Solve for x
    x = 181,592.83/384.32
  6. Step 6: Final answer
    x = 472.50

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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.