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Finding the Fourth Proportional to 660.24, 911.52 and 427.50

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Solution

The fourth proportional to 660.24, 911.52 and 427.50 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.24 : 911.52 = 427.50 : x
  2. Step 2: Convert to fraction form
    660.24/911.52 = 427.50/x
  3. Step 3: Cross multiply
    660.24x = 911.52 × 427.50
  4. Step 4: Simplify right side
    660.24x = 389,674.80
  5. Step 5: Solve for x
    x = 389,674.80/660.24
  6. Step 6: Final answer
    x = 590.20

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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.