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Finding the Fourth Proportional to 534.58, 738.42 and 436.16

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Solution

The fourth proportional to 534.58, 738.42 and 436.16 is: 602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.58 : 738.42 = 436.16 : x
  2. Step 2: Convert to fraction form
    534.58/738.42 = 436.16/x
  3. Step 3: Cross multiply
    534.58x = 738.42 × 436.16
  4. Step 4: Simplify right side
    534.58x = 322,069.27
  5. Step 5: Solve for x
    x = 322,069.27/534.58
  6. Step 6: Final answer
    x = 602.47

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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.