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Finding the Fourth Proportional to 659.02, 988.32 and 269.02

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Solution

The fourth proportional to 659.02, 988.32 and 269.02 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 988.32 = 269.02 : x
  2. Step 2: Convert to fraction form
    659.02/988.32 = 269.02/x
  3. Step 3: Cross multiply
    659.02x = 988.32 × 269.02
  4. Step 4: Simplify right side
    659.02x = 265,877.85
  5. Step 5: Solve for x
    x = 265,877.85/659.02
  6. Step 6: Final answer
    x = 403.44

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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.