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Finding the Fourth Proportional to 800.06, 1,200.28 and 312.98

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Solution

The fourth proportional to 800.06, 1,200.28 and 312.98 is: 469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,200.28 = 312.98 : x
  2. Step 2: Convert to fraction form
    800.06/1,200.28 = 312.98/x
  3. Step 3: Cross multiply
    800.06x = 1,200.28 × 312.98
  4. Step 4: Simplify right side
    800.06x = 375,663.63
  5. Step 5: Solve for x
    x = 375,663.63/800.06
  6. Step 6: Final answer
    x = 469.54

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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.