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Finding the Fourth Proportional to 328.30, 491.55 and 256.30

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Solution

The fourth proportional to 328.30, 491.55 and 256.30 is: 383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.30 : 491.55 = 256.30 : x
  2. Step 2: Convert to fraction form
    328.30/491.55 = 256.30/x
  3. Step 3: Cross multiply
    328.30x = 491.55 × 256.30
  4. Step 4: Simplify right side
    328.30x = 125,984.27
  5. Step 5: Solve for x
    x = 125,984.27/328.30
  6. Step 6: Final answer
    x = 383.75

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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.