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Finding the Fourth Proportional to 659.31, 909.83 and 364.57

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Solution

The fourth proportional to 659.31, 909.83 and 364.57 is: 503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 909.83 = 364.57 : x
  2. Step 2: Convert to fraction form
    659.31/909.83 = 364.57/x
  3. Step 3: Cross multiply
    659.31x = 909.83 × 364.57
  4. Step 4: Simplify right side
    659.31x = 331,696.72
  5. Step 5: Solve for x
    x = 331,696.72/659.31
  6. Step 6: Final answer
    x = 503.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.