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Finding the Fourth Proportional to 461.34, 692.30 and 288.34

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Solution

The fourth proportional to 461.34, 692.30 and 288.34 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 692.30 = 288.34 : x
  2. Step 2: Convert to fraction form
    461.34/692.30 = 288.34/x
  3. Step 3: Cross multiply
    461.34x = 692.30 × 288.34
  4. Step 4: Simplify right side
    461.34x = 199,617.78
  5. Step 5: Solve for x
    x = 199,617.78/461.34
  6. Step 6: Final answer
    x = 432.69

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