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Finding the Fourth Proportional to 383.68, 575.20 and 256.16

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Solution

The fourth proportional to 383.68, 575.20 and 256.16 is: 384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.68 : 575.20 = 256.16 : x
  2. Step 2: Convert to fraction form
    383.68/575.20 = 256.16/x
  3. Step 3: Cross multiply
    383.68x = 575.20 × 256.16
  4. Step 4: Simplify right side
    383.68x = 147,343.23
  5. Step 5: Solve for x
    x = 147,343.23/383.68
  6. Step 6: Final answer
    x = 384.03

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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.