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Finding the Fourth Proportional to 403.94, 557.74 and 256.92

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Solution

The fourth proportional to 403.94, 557.74 and 256.92 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.94 : 557.74 = 256.92 : x
  2. Step 2: Convert to fraction form
    403.94/557.74 = 256.92/x
  3. Step 3: Cross multiply
    403.94x = 557.74 × 256.92
  4. Step 4: Simplify right side
    403.94x = 143,294.56
  5. Step 5: Solve for x
    x = 143,294.56/403.94
  6. Step 6: Final answer
    x = 354.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.