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Finding the Fourth Proportional to 497.28, 746.28 and 304.32

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Solution

The fourth proportional to 497.28, 746.28 and 304.32 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.28 : 746.28 = 304.32 : x
  2. Step 2: Convert to fraction form
    497.28/746.28 = 304.32/x
  3. Step 3: Cross multiply
    497.28x = 746.28 × 304.32
  4. Step 4: Simplify right side
    497.28x = 227,107.93
  5. Step 5: Solve for x
    x = 227,107.93/497.28
  6. Step 6: Final answer
    x = 456.70

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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.