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Finding the Fourth Proportional to 368, 507.96 and 220.64

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Solution

The fourth proportional to 368, 507.96 and 220.64 is: 304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368 : 507.96 = 220.64 : x
  2. Step 2: Convert to fraction form
    368/507.96 = 220.64/x
  3. Step 3: Cross multiply
    368x = 507.96 × 220.64
  4. Step 4: Simplify right side
    368x = 112,076.29
  5. Step 5: Solve for x
    x = 112,076.29/368
  6. Step 6: Final answer
    x = 304.56

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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.