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Finding the Fourth Proportional to 393.12, 541.35 and 384.60

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Solution

The fourth proportional to 393.12, 541.35 and 384.60 is: 529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.12 : 541.35 = 384.60 : x
  2. Step 2: Convert to fraction form
    393.12/541.35 = 384.60/x
  3. Step 3: Cross multiply
    393.12x = 541.35 × 384.60
  4. Step 4: Simplify right side
    393.12x = 208,203.21
  5. Step 5: Solve for x
    x = 208,203.21/393.12
  6. Step 6: Final answer
    x = 529.62

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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.