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Finding the Fourth Proportional to 534.70, 750.20 and 534.70

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Solution

The fourth proportional to 534.70, 750.20 and 534.70 is: 750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.70 : 750.20 = 534.70 : x
  2. Step 2: Convert to fraction form
    534.70/750.20 = 534.70/x
  3. Step 3: Cross multiply
    534.70x = 750.20 × 534.70
  4. Step 4: Simplify right side
    534.70x = 401,131.94
  5. Step 5: Solve for x
    x = 401,131.94/534.70
  6. Step 6: Final answer
    x = 750.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.