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Finding the Fourth Proportional to 328.73, 492.95 and 256.64

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Solution

The fourth proportional to 328.73, 492.95 and 256.64 is: 384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.73 : 492.95 = 256.64 : x
  2. Step 2: Convert to fraction form
    328.73/492.95 = 256.64/x
  3. Step 3: Cross multiply
    328.73x = 492.95 × 256.64
  4. Step 4: Simplify right side
    328.73x = 126,508.86
  5. Step 5: Solve for x
    x = 126,508.86/328.73
  6. Step 6: Final answer
    x = 384.85

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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.