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Finding the Fourth Proportional to 318.64, 478.24 and 203.28

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Solution

The fourth proportional to 318.64, 478.24 and 203.28 is: 305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.64 : 478.24 = 203.28 : x
  2. Step 2: Convert to fraction form
    318.64/478.24 = 203.28/x
  3. Step 3: Cross multiply
    318.64x = 478.24 × 203.28
  4. Step 4: Simplify right side
    318.64x = 97,216.63
  5. Step 5: Solve for x
    x = 97,216.63/318.64
  6. Step 6: Final answer
    x = 305.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.