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Finding the Fourth Proportional to 660.01, 910.78 and 361.25

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Solution

The fourth proportional to 660.01, 910.78 and 361.25 is: 498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.01 : 910.78 = 361.25 : x
  2. Step 2: Convert to fraction form
    660.01/910.78 = 361.25/x
  3. Step 3: Cross multiply
    660.01x = 910.78 × 361.25
  4. Step 4: Simplify right side
    660.01x = 329,017.47
  5. Step 5: Solve for x
    x = 329,017.47/660.01
  6. Step 6: Final answer
    x = 498.50

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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.