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Finding the Fourth Proportional to 461, 694.71 and 385.67

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Solution

The fourth proportional to 461, 694.71 and 385.67 is: 581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 694.71 = 385.67 : x
  2. Step 2: Convert to fraction form
    461/694.71 = 385.67/x
  3. Step 3: Cross multiply
    461x = 694.71 × 385.67
  4. Step 4: Simplify right side
    461x = 267,928.81
  5. Step 5: Solve for x
    x = 267,928.81/461
  6. Step 6: Final answer
    x = 581.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.