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Finding the Fourth Proportional to 949.41, 1,424.13 and 256.08

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Solution

The fourth proportional to 949.41, 1,424.13 and 256.08 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.41 : 1,424.13 = 256.08 : x
  2. Step 2: Convert to fraction form
    949.41/1,424.13 = 256.08/x
  3. Step 3: Cross multiply
    949.41x = 1,424.13 × 256.08
  4. Step 4: Simplify right side
    949.41x = 364,691.21
  5. Step 5: Solve for x
    x = 364,691.21/949.41
  6. Step 6: Final answer
    x = 384.12

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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.