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Finding the Fourth Proportional to 403.82, 557.64 and 256.50

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Solution

The fourth proportional to 403.82, 557.64 and 256.50 is: 354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 557.64 = 256.50 : x
  2. Step 2: Convert to fraction form
    403.82/557.64 = 256.50/x
  3. Step 3: Cross multiply
    403.82x = 557.64 × 256.50
  4. Step 4: Simplify right side
    403.82x = 143,034.66
  5. Step 5: Solve for x
    x = 143,034.66/403.82
  6. Step 6: Final answer
    x = 354.21

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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.