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Finding the Fourth Proportional to 659.53, 989.43 and 350.65

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Solution

The fourth proportional to 659.53, 989.43 and 350.65 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.53 : 989.43 = 350.65 : x
  2. Step 2: Convert to fraction form
    659.53/989.43 = 350.65/x
  3. Step 3: Cross multiply
    659.53x = 989.43 × 350.65
  4. Step 4: Simplify right side
    659.53x = 346,943.63
  5. Step 5: Solve for x
    x = 346,943.63/659.53
  6. Step 6: Final answer
    x = 526.05

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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.