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Finding the Fourth Proportional to 659.21, 988.51 and 293.99

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Solution

The fourth proportional to 659.21, 988.51 and 293.99 is: 440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.21 : 988.51 = 293.99 : x
  2. Step 2: Convert to fraction form
    659.21/988.51 = 293.99/x
  3. Step 3: Cross multiply
    659.21x = 988.51 × 293.99
  4. Step 4: Simplify right side
    659.21x = 290,605.64
  5. Step 5: Solve for x
    x = 290,605.64/659.21
  6. Step 6: Final answer
    x = 440.84

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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.