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Finding the Fourth Proportional to 503.80, 756.05 and 229.92

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Solution

The fourth proportional to 503.80, 756.05 and 229.92 is: 345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.80 : 756.05 = 229.92 : x
  2. Step 2: Convert to fraction form
    503.80/756.05 = 229.92/x
  3. Step 3: Cross multiply
    503.80x = 756.05 × 229.92
  4. Step 4: Simplify right side
    503.80x = 173,831.02
  5. Step 5: Solve for x
    x = 173,831.02/503.80
  6. Step 6: Final answer
    x = 345.04

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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.