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Finding the Fourth Proportional to 384.45, 529.20 and 344.47

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Solution

The fourth proportional to 384.45, 529.20 and 344.47 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 529.20 = 344.47 : x
  2. Step 2: Convert to fraction form
    384.45/529.20 = 344.47/x
  3. Step 3: Cross multiply
    384.45x = 529.20 × 344.47
  4. Step 4: Simplify right side
    384.45x = 182,292.20
  5. Step 5: Solve for x
    x = 182,292.20/384.45
  6. Step 6: Final answer
    x = 474.16

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