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Finding the Fourth Proportional to 692.31, 1,038.62 and 230.07

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Solution

The fourth proportional to 692.31, 1,038.62 and 230.07 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 1,038.62 = 230.07 : x
  2. Step 2: Convert to fraction form
    692.31/1,038.62 = 230.07/x
  3. Step 3: Cross multiply
    692.31x = 1,038.62 × 230.07
  4. Step 4: Simplify right side
    692.31x = 238,959.77
  5. Step 5: Solve for x
    x = 238,959.77/692.31
  6. Step 6: Final answer
    x = 345.16

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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.