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Finding the Fourth Proportional to 403.83, 557.32 and 238

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Solution

The fourth proportional to 403.83, 557.32 and 238 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 557.32 = 238 : x
  2. Step 2: Convert to fraction form
    403.83/557.32 = 238/x
  3. Step 3: Cross multiply
    403.83x = 557.32 × 238
  4. Step 4: Simplify right side
    403.83x = 132,642.16
  5. Step 5: Solve for x
    x = 132,642.16/403.83
  6. Step 6: Final answer
    x = 328.46

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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.