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Finding the Fourth Proportional to 497.54, 745.49 and 292.07

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Solution

The fourth proportional to 497.54, 745.49 and 292.07 is: 437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.54 : 745.49 = 292.07 : x
  2. Step 2: Convert to fraction form
    497.54/745.49 = 292.07/x
  3. Step 3: Cross multiply
    497.54x = 745.49 × 292.07
  4. Step 4: Simplify right side
    497.54x = 217,730.08
  5. Step 5: Solve for x
    x = 217,730.08/497.54
  6. Step 6: Final answer
    x = 437.62

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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.