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Finding the Fourth Proportional to 660.77, 911.47 and 427.89

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Solution

The fourth proportional to 660.77, 911.47 and 427.89 is: 590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.77 : 911.47 = 427.89 : x
  2. Step 2: Convert to fraction form
    660.77/911.47 = 427.89/x
  3. Step 3: Cross multiply
    660.77x = 911.47 × 427.89
  4. Step 4: Simplify right side
    660.77x = 390,008.90
  5. Step 5: Solve for x
    x = 390,008.90/660.77
  6. Step 6: Final answer
    x = 590.23

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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.