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Finding the Fourth Proportional to 659.54, 989.92 and 313.08

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Solution

The fourth proportional to 659.54, 989.92 and 313.08 is: 469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.54 : 989.92 = 313.08 : x
  2. Step 2: Convert to fraction form
    659.54/989.92 = 313.08/x
  3. Step 3: Cross multiply
    659.54x = 989.92 × 313.08
  4. Step 4: Simplify right side
    659.54x = 309,924.15
  5. Step 5: Solve for x
    x = 309,924.15/659.54
  6. Step 6: Final answer
    x = 469.91

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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.