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Finding the Fourth Proportional to 659.46, 990.99 and 351.53

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Solution

The fourth proportional to 659.46, 990.99 and 351.53 is: 528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 990.99 = 351.53 : x
  2. Step 2: Convert to fraction form
    659.46/990.99 = 351.53/x
  3. Step 3: Cross multiply
    659.46x = 990.99 × 351.53
  4. Step 4: Simplify right side
    659.46x = 348,360.96
  5. Step 5: Solve for x
    x = 348,360.96/659.46
  6. Step 6: Final answer
    x = 528.25

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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.