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Finding the Fourth Proportional to 497.64, 746.46 and 209.01

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Solution

The fourth proportional to 497.64, 746.46 and 209.01 is: 313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 746.46 = 209.01 : x
  2. Step 2: Convert to fraction form
    497.64/746.46 = 209.01/x
  3. Step 3: Cross multiply
    497.64x = 746.46 × 209.01
  4. Step 4: Simplify right side
    497.64x = 156,017.60
  5. Step 5: Solve for x
    x = 156,017.60/497.64
  6. Step 6: Final answer
    x = 313.52

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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.