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Finding the Fourth Proportional to 497.27, 745.63 and 368.75

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Solution

The fourth proportional to 497.27, 745.63 and 368.75 is: 552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.27 : 745.63 = 368.75 : x
  2. Step 2: Convert to fraction form
    497.27/745.63 = 368.75/x
  3. Step 3: Cross multiply
    497.27x = 745.63 × 368.75
  4. Step 4: Simplify right side
    497.27x = 274,951.06
  5. Step 5: Solve for x
    x = 274,951.06/497.27
  6. Step 6: Final answer
    x = 552.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.