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Finding the Fourth Proportional to 659.87, 910.63 and 365.15

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Solution

The fourth proportional to 659.87, 910.63 and 365.15 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.87 : 910.63 = 365.15 : x
  2. Step 2: Convert to fraction form
    659.87/910.63 = 365.15/x
  3. Step 3: Cross multiply
    659.87x = 910.63 × 365.15
  4. Step 4: Simplify right side
    659.87x = 332,511.08
  5. Step 5: Solve for x
    x = 332,511.08/659.87
  6. Step 6: Final answer
    x = 503.91

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