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Finding the Fourth Proportional to 659.88, 989.31 and 313.00

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Solution

The fourth proportional to 659.88, 989.31 and 313.00 is: 469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.88 : 989.31 = 313.00 : x
  2. Step 2: Convert to fraction form
    659.88/989.31 = 313.00/x
  3. Step 3: Cross multiply
    659.88x = 989.31 × 313.00
  4. Step 4: Simplify right side
    659.88x = 309,652.73
  5. Step 5: Solve for x
    x = 309,652.73/659.88
  6. Step 6: Final answer
    x = 469.26

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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.