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Finding the Fourth Proportional to 401.35, 602.63 and 256.02

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Solution

The fourth proportional to 401.35, 602.63 and 256.02 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 602.63 = 256.02 : x
  2. Step 2: Convert to fraction form
    401.35/602.63 = 256.02/x
  3. Step 3: Cross multiply
    401.35x = 602.63 × 256.02
  4. Step 4: Simplify right side
    401.35x = 154,285.33
  5. Step 5: Solve for x
    x = 154,285.33/401.35
  6. Step 6: Final answer
    x = 384.42

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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.