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Finding the Fourth Proportional to 403.52, 557.04 and 237.84

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Solution

The fourth proportional to 403.52, 557.04 and 237.84 is: 328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.52 : 557.04 = 237.84 : x
  2. Step 2: Convert to fraction form
    403.52/557.04 = 237.84/x
  3. Step 3: Cross multiply
    403.52x = 557.04 × 237.84
  4. Step 4: Simplify right side
    403.52x = 132,486.39
  5. Step 5: Solve for x
    x = 132,486.39/403.52
  6. Step 6: Final answer
    x = 328.33

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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.