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Finding the Fourth Proportional to 650.29, 973.99 and 467.13

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Solution

The fourth proportional to 650.29, 973.99 and 467.13 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.29 : 973.99 = 467.13 : x
  2. Step 2: Convert to fraction form
    650.29/973.99 = 467.13/x
  3. Step 3: Cross multiply
    650.29x = 973.99 × 467.13
  4. Step 4: Simplify right side
    650.29x = 454,977.61
  5. Step 5: Solve for x
    x = 454,977.61/650.29
  6. Step 6: Final answer
    x = 699.66

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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.