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Finding the Fourth Proportional to 659.94, 910.70 and 365.16

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Solution

The fourth proportional to 659.94, 910.70 and 365.16 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.94 : 910.70 = 365.16 : x
  2. Step 2: Convert to fraction form
    659.94/910.70 = 365.16/x
  3. Step 3: Cross multiply
    659.94x = 910.70 × 365.16
  4. Step 4: Simplify right side
    659.94x = 332,551.21
  5. Step 5: Solve for x
    x = 332,551.21/659.94
  6. Step 6: Final answer
    x = 503.91

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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.