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Finding the Fourth Proportional to 661.59, 913.01 and 366.88

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Solution

The fourth proportional to 661.59, 913.01 and 366.88 is: 506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.59 : 913.01 = 366.88 : x
  2. Step 2: Convert to fraction form
    661.59/913.01 = 366.88/x
  3. Step 3: Cross multiply
    661.59x = 913.01 × 366.88
  4. Step 4: Simplify right side
    661.59x = 334,965.11
  5. Step 5: Solve for x
    x = 334,965.11/661.59
  6. Step 6: Final answer
    x = 506.30

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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.