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Finding the Fourth Proportional to 692, 1,038 and 302.39

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Solution

The fourth proportional to 692, 1,038 and 302.39 is: 453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 1,038 = 302.39 : x
  2. Step 2: Convert to fraction form
    692/1,038 = 302.39/x
  3. Step 3: Cross multiply
    692x = 1,038 × 302.39
  4. Step 4: Simplify right side
    692x = 313,880.82
  5. Step 5: Solve for x
    x = 313,880.82/692
  6. Step 6: Final answer
    x = 453.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.