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Finding the Fourth Proportional to 659.78, 988.82 and 313.04

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Solution

The fourth proportional to 659.78, 988.82 and 313.04 is: 469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.78 : 988.82 = 313.04 : x
  2. Step 2: Convert to fraction form
    659.78/988.82 = 313.04/x
  3. Step 3: Cross multiply
    659.78x = 988.82 × 313.04
  4. Step 4: Simplify right side
    659.78x = 309,540.21
  5. Step 5: Solve for x
    x = 309,540.21/659.78
  6. Step 6: Final answer
    x = 469.16

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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.