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Finding the Fourth Proportional to 497.02, 743.74 and 301.30

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Solution

The fourth proportional to 497.02, 743.74 and 301.30 is: 450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 743.74 = 301.30 : x
  2. Step 2: Convert to fraction form
    497.02/743.74 = 301.30/x
  3. Step 3: Cross multiply
    497.02x = 743.74 × 301.30
  4. Step 4: Simplify right side
    497.02x = 224,088.86
  5. Step 5: Solve for x
    x = 224,088.86/497.02
  6. Step 6: Final answer
    x = 450.86

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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.