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Finding the Fourth Proportional to 659.23, 988.11 and 312.03

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Solution

The fourth proportional to 659.23, 988.11 and 312.03 is: 467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.23 : 988.11 = 312.03 : x
  2. Step 2: Convert to fraction form
    659.23/988.11 = 312.03/x
  3. Step 3: Cross multiply
    659.23x = 988.11 × 312.03
  4. Step 4: Simplify right side
    659.23x = 308,319.96
  5. Step 5: Solve for x
    x = 308,319.96/659.23
  6. Step 6: Final answer
    x = 467.70

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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.