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Finding the Fourth Proportional to 659.97, 910.77 and 427.50

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Solution

The fourth proportional to 659.97, 910.77 and 427.50 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.97 : 910.77 = 427.50 : x
  2. Step 2: Convert to fraction form
    659.97/910.77 = 427.50/x
  3. Step 3: Cross multiply
    659.97x = 910.77 × 427.50
  4. Step 4: Simplify right side
    659.97x = 389,354.18
  5. Step 5: Solve for x
    x = 389,354.18/659.97
  6. Step 6: Final answer
    x = 589.96

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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.