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Finding the Fourth Proportional to 497.15, 745.11 and 291.87

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Solution

The fourth proportional to 497.15, 745.11 and 291.87 is: 437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.15 : 745.11 = 291.87 : x
  2. Step 2: Convert to fraction form
    497.15/745.11 = 291.87/x
  3. Step 3: Cross multiply
    497.15x = 745.11 × 291.87
  4. Step 4: Simplify right side
    497.15x = 217,475.26
  5. Step 5: Solve for x
    x = 217,475.26/497.15
  6. Step 6: Final answer
    x = 437.45

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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.