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Finding the Fourth Proportional to 403.93, 557.29 and 238.20

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Solution

The fourth proportional to 403.93, 557.29 and 238.20 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.93 : 557.29 = 238.20 : x
  2. Step 2: Convert to fraction form
    403.93/557.29 = 238.20/x
  3. Step 3: Cross multiply
    403.93x = 557.29 × 238.20
  4. Step 4: Simplify right side
    403.93x = 132,746.48
  5. Step 5: Solve for x
    x = 132,746.48/403.93
  6. Step 6: Final answer
    x = 328.64

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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.