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Finding the Fourth Proportional to 659.80, 910.55 and 365.06

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Solution

The fourth proportional to 659.80, 910.55 and 365.06 is: 503.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 910.55 = 365.06 : x
  2. Step 2: Convert to fraction form
    659.80/910.55 = 365.06/x
  3. Step 3: Cross multiply
    659.80x = 910.55 × 365.06
  4. Step 4: Simplify right side
    659.80x = 332,406.52
  5. Step 5: Solve for x
    x = 332,406.52/659.80
  6. Step 6: Final answer
    x = 503.80

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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.