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Finding the Fourth Proportional to 659.06, 987.77 and 334.25

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Solution

The fourth proportional to 659.06, 987.77 and 334.25 is: 500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 987.77 = 334.25 : x
  2. Step 2: Convert to fraction form
    659.06/987.77 = 334.25/x
  3. Step 3: Cross multiply
    659.06x = 987.77 × 334.25
  4. Step 4: Simplify right side
    659.06x = 330,155.51
  5. Step 5: Solve for x
    x = 330,155.51/659.06
  6. Step 6: Final answer
    x = 500.95

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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.