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Finding the Fourth Proportional to 503.25, 756.29 and 297.91

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Solution

The fourth proportional to 503.25, 756.29 and 297.91 is: 447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.25 : 756.29 = 297.91 : x
  2. Step 2: Convert to fraction form
    503.25/756.29 = 297.91/x
  3. Step 3: Cross multiply
    503.25x = 756.29 × 297.91
  4. Step 4: Simplify right side
    503.25x = 225,304.86
  5. Step 5: Solve for x
    x = 225,304.86/503.25
  6. Step 6: Final answer
    x = 447.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.