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Finding the Fourth Proportional to 477.75, 659.62 and 320.61

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Solution

The fourth proportional to 477.75, 659.62 and 320.61 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.75 : 659.62 = 320.61 : x
  2. Step 2: Convert to fraction form
    477.75/659.62 = 320.61/x
  3. Step 3: Cross multiply
    477.75x = 659.62 × 320.61
  4. Step 4: Simplify right side
    477.75x = 211,480.81
  5. Step 5: Solve for x
    x = 211,480.81/477.75
  6. Step 6: Final answer
    x = 442.66

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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.