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Finding the Fourth Proportional to 659.99, 990.51 and 294.73

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Solution

The fourth proportional to 659.99, 990.51 and 294.73 is: 442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.99 : 990.51 = 294.73 : x
  2. Step 2: Convert to fraction form
    659.99/990.51 = 294.73/x
  3. Step 3: Cross multiply
    659.99x = 990.51 × 294.73
  4. Step 4: Simplify right side
    659.99x = 291,933.01
  5. Step 5: Solve for x
    x = 291,933.01/659.99
  6. Step 6: Final answer
    x = 442.33

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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.