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Finding the Fourth Proportional to 497.58, 744.44 and 359.07

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Solution

The fourth proportional to 497.58, 744.44 and 359.07 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 744.44 = 359.07 : x
  2. Step 2: Convert to fraction form
    497.58/744.44 = 359.07/x
  3. Step 3: Cross multiply
    497.58x = 744.44 × 359.07
  4. Step 4: Simplify right side
    497.58x = 267,306.36
  5. Step 5: Solve for x
    x = 267,306.36/497.58
  6. Step 6: Final answer
    x = 537.22

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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.