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Finding the Fourth Proportional to 661.42, 912.73 and 366.67

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Solution

The fourth proportional to 661.42, 912.73 and 366.67 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.42 : 912.73 = 366.67 : x
  2. Step 2: Convert to fraction form
    661.42/912.73 = 366.67/x
  3. Step 3: Cross multiply
    661.42x = 912.73 × 366.67
  4. Step 4: Simplify right side
    661.42x = 334,664.31
  5. Step 5: Solve for x
    x = 334,664.31/661.42
  6. Step 6: Final answer
    x = 505.98

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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.