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Finding the Fourth Proportional to 403.77, 557.04 and 237.87

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Solution

The fourth proportional to 403.77, 557.04 and 237.87 is: 328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.77 : 557.04 = 237.87 : x
  2. Step 2: Convert to fraction form
    403.77/557.04 = 237.87/x
  3. Step 3: Cross multiply
    403.77x = 557.04 × 237.87
  4. Step 4: Simplify right side
    403.77x = 132,503.10
  5. Step 5: Solve for x
    x = 132,503.10/403.77
  6. Step 6: Final answer
    x = 328.16

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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.