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Finding the Fourth Proportional to 620.49, 929.37 and 456.24

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Solution

The fourth proportional to 620.49, 929.37 and 456.24 is: 683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 929.37 = 456.24 : x
  2. Step 2: Convert to fraction form
    620.49/929.37 = 456.24/x
  3. Step 3: Cross multiply
    620.49x = 929.37 × 456.24
  4. Step 4: Simplify right side
    620.49x = 424,014.50
  5. Step 5: Solve for x
    x = 424,014.50/620.49
  6. Step 6: Final answer
    x = 683.36

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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.