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Finding the Fourth Proportional to 661.16, 912.41 and 366.45

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Solution

The fourth proportional to 661.16, 912.41 and 366.45 is: 505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.16 : 912.41 = 366.45 : x
  2. Step 2: Convert to fraction form
    661.16/912.41 = 366.45/x
  3. Step 3: Cross multiply
    661.16x = 912.41 × 366.45
  4. Step 4: Simplify right side
    661.16x = 334,350.81
  5. Step 5: Solve for x
    x = 334,350.81/661.16
  6. Step 6: Final answer
    x = 505.71

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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.