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Finding the Fourth Proportional to 497.29, 744.91 and 291.23

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Solution

The fourth proportional to 497.29, 744.91 and 291.23 is: 436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.29 : 744.91 = 291.23 : x
  2. Step 2: Convert to fraction form
    497.29/744.91 = 291.23/x
  3. Step 3: Cross multiply
    497.29x = 744.91 × 291.23
  4. Step 4: Simplify right side
    497.29x = 216,942.03
  5. Step 5: Solve for x
    x = 216,942.03/497.29
  6. Step 6: Final answer
    x = 436.25

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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.