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Finding the Fourth Proportional to 320.32, 478.52 and 228.30

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Solution

The fourth proportional to 320.32, 478.52 and 228.30 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 478.52 = 228.30 : x
  2. Step 2: Convert to fraction form
    320.32/478.52 = 228.30/x
  3. Step 3: Cross multiply
    320.32x = 478.52 × 228.30
  4. Step 4: Simplify right side
    320.32x = 109,246.12
  5. Step 5: Solve for x
    x = 109,246.12/320.32
  6. Step 6: Final answer
    x = 341.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.