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Finding the Fourth Proportional to 534.70, 800.70 and 351.10

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Solution

The fourth proportional to 534.70, 800.70 and 351.10 is: 525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 800.70 = 351.10 : x
  2. Step 2: Convert to fraction form
    534.70/800.70 = 351.10/x
  3. Step 3: Cross multiply
    534.70x = 800.70 × 351.10
  4. Step 4: Simplify right side
    534.70x = 281,125.77
  5. Step 5: Solve for x
    x = 281,125.77/534.70
  6. Step 6: Final answer
    x = 525.76

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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.