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Finding the Fourth Proportional to 659.40, 909.98 and 364.66

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Solution

The fourth proportional to 659.40, 909.98 and 364.66 is: 503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.40 : 909.98 = 364.66 : x
  2. Step 2: Convert to fraction form
    659.40/909.98 = 364.66/x
  3. Step 3: Cross multiply
    659.40x = 909.98 × 364.66
  4. Step 4: Simplify right side
    659.40x = 331,833.31
  5. Step 5: Solve for x
    x = 331,833.31/659.40
  6. Step 6: Final answer
    x = 503.24

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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.