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Finding the Fourth Proportional to 661.59, 913.02 and 366.87

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Solution

The fourth proportional to 661.59, 913.02 and 366.87 is: 506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.59 : 913.02 = 366.87 : x
  2. Step 2: Convert to fraction form
    661.59/913.02 = 366.87/x
  3. Step 3: Cross multiply
    661.59x = 913.02 × 366.87
  4. Step 4: Simplify right side
    661.59x = 334,959.65
  5. Step 5: Solve for x
    x = 334,959.65/661.59
  6. Step 6: Final answer
    x = 506.29

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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.