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Finding the Fourth Proportional to 337.77, 503.82 and 292.41

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Solution

The fourth proportional to 337.77, 503.82 and 292.41 is: 436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.77 : 503.82 = 292.41 : x
  2. Step 2: Convert to fraction form
    337.77/503.82 = 292.41/x
  3. Step 3: Cross multiply
    337.77x = 503.82 × 292.41
  4. Step 4: Simplify right side
    337.77x = 147,322.01
  5. Step 5: Solve for x
    x = 147,322.01/337.77
  6. Step 6: Final answer
    x = 436.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.