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Finding the Fourth Proportional to 534.20, 736.94 and 345.08

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Solution

The fourth proportional to 534.20, 736.94 and 345.08 is: 476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.20 : 736.94 = 345.08 : x
  2. Step 2: Convert to fraction form
    534.20/736.94 = 345.08/x
  3. Step 3: Cross multiply
    534.20x = 736.94 × 345.08
  4. Step 4: Simplify right side
    534.20x = 254,303.26
  5. Step 5: Solve for x
    x = 254,303.26/534.20
  6. Step 6: Final answer
    x = 476.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.