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Finding the Fourth Proportional to 461.65, 692.28 and 230.45

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Solution

The fourth proportional to 461.65, 692.28 and 230.45 is: 345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.65 : 692.28 = 230.45 : x
  2. Step 2: Convert to fraction form
    461.65/692.28 = 230.45/x
  3. Step 3: Cross multiply
    461.65x = 692.28 × 230.45
  4. Step 4: Simplify right side
    461.65x = 159,535.93
  5. Step 5: Solve for x
    x = 159,535.93/461.65
  6. Step 6: Final answer
    x = 345.58

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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.