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Finding the Fourth Proportional to 497.42, 746.10 and 208.86

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Solution

The fourth proportional to 497.42, 746.10 and 208.86 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.42 : 746.10 = 208.86 : x
  2. Step 2: Convert to fraction form
    497.42/746.10 = 208.86/x
  3. Step 3: Cross multiply
    497.42x = 746.10 × 208.86
  4. Step 4: Simplify right side
    497.42x = 155,830.45
  5. Step 5: Solve for x
    x = 155,830.45/497.42
  6. Step 6: Final answer
    x = 313.28

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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.