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Finding the Fourth Proportional to 659.02, 909.44 and 360.27

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Solution

The fourth proportional to 659.02, 909.44 and 360.27 is: 497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 909.44 = 360.27 : x
  2. Step 2: Convert to fraction form
    659.02/909.44 = 360.27/x
  3. Step 3: Cross multiply
    659.02x = 909.44 × 360.27
  4. Step 4: Simplify right side
    659.02x = 327,642.15
  5. Step 5: Solve for x
    x = 327,642.15/659.02
  6. Step 6: Final answer
    x = 497.17

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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.