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Finding the Fourth Proportional to 661.41, 912.75 and 366.67

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Solution

The fourth proportional to 661.41, 912.75 and 366.67 is: 506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.41 : 912.75 = 366.67 : x
  2. Step 2: Convert to fraction form
    661.41/912.75 = 366.67/x
  3. Step 3: Cross multiply
    661.41x = 912.75 × 366.67
  4. Step 4: Simplify right side
    661.41x = 334,678.04
  5. Step 5: Solve for x
    x = 334,678.04/661.41
  6. Step 6: Final answer
    x = 506.01

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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.