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Finding the Fourth Proportional to 497.19, 746.72 and 456.56

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Solution

The fourth proportional to 497.19, 746.72 and 456.56 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.19 : 746.72 = 456.56 : x
  2. Step 2: Convert to fraction form
    497.19/746.72 = 456.56/x
  3. Step 3: Cross multiply
    497.19x = 746.72 × 456.56
  4. Step 4: Simplify right side
    497.19x = 340,916.47
  5. Step 5: Solve for x
    x = 340,916.47/497.19
  6. Step 6: Final answer
    x = 685.69

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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.