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Finding the Fourth Proportional to 534.07, 800.30 and 388.10

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Solution

The fourth proportional to 534.07, 800.30 and 388.10 is: 581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.07 : 800.30 = 388.10 : x
  2. Step 2: Convert to fraction form
    534.07/800.30 = 388.10/x
  3. Step 3: Cross multiply
    534.07x = 800.30 × 388.10
  4. Step 4: Simplify right side
    534.07x = 310,592.67
  5. Step 5: Solve for x
    x = 310,592.67/534.07
  6. Step 6: Final answer
    x = 581.56

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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.