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Finding the Fourth Proportional to 497.62, 746.70 and 302.14

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Solution

The fourth proportional to 497.62, 746.70 and 302.14 is: 453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 746.70 = 302.14 : x
  2. Step 2: Convert to fraction form
    497.62/746.70 = 302.14/x
  3. Step 3: Cross multiply
    497.62x = 746.70 × 302.14
  4. Step 4: Simplify right side
    497.62x = 225,607.94
  5. Step 5: Solve for x
    x = 225,607.94/497.62
  6. Step 6: Final answer
    x = 453.37

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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.