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Finding the Fourth Proportional to 497.52, 745.84 and 209.16

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Solution

The fourth proportional to 497.52, 745.84 and 209.16 is: 313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 745.84 = 209.16 : x
  2. Step 2: Convert to fraction form
    497.52/745.84 = 209.16/x
  3. Step 3: Cross multiply
    497.52x = 745.84 × 209.16
  4. Step 4: Simplify right side
    497.52x = 155,999.89
  5. Step 5: Solve for x
    x = 155,999.89/497.52
  6. Step 6: Final answer
    x = 313.56

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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.