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Finding the Fourth Proportional to 661.50, 912.89 and 366.78

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Solution

The fourth proportional to 661.50, 912.89 and 366.78 is: 506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.50 : 912.89 = 366.78 : x
  2. Step 2: Convert to fraction form
    661.50/912.89 = 366.78/x
  3. Step 3: Cross multiply
    661.50x = 912.89 × 366.78
  4. Step 4: Simplify right side
    661.50x = 334,827.96
  5. Step 5: Solve for x
    x = 334,827.96/661.50
  6. Step 6: Final answer
    x = 506.16

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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.