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Finding the Fourth Proportional to 464.31, 692.53 and 391.67

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Solution

The fourth proportional to 464.31, 692.53 and 391.67 is: 584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.31 : 692.53 = 391.67 : x
  2. Step 2: Convert to fraction form
    464.31/692.53 = 391.67/x
  3. Step 3: Cross multiply
    464.31x = 692.53 × 391.67
  4. Step 4: Simplify right side
    464.31x = 271,243.23
  5. Step 5: Solve for x
    x = 271,243.23/464.31
  6. Step 6: Final answer
    x = 584.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.