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Finding the Fourth Proportional to 660, 910.86 and 427.32

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Solution

The fourth proportional to 660, 910.86 and 427.32 is: 589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660 : 910.86 = 427.32 : x
  2. Step 2: Convert to fraction form
    660/910.86 = 427.32/x
  3. Step 3: Cross multiply
    660x = 910.86 × 427.32
  4. Step 4: Simplify right side
    660x = 389,228.70
  5. Step 5: Solve for x
    x = 389,228.70/660
  6. Step 6: Final answer
    x = 589.74

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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.