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Finding the Fourth Proportional to 692.13, 955.14 and 381.63

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Solution

The fourth proportional to 692.13, 955.14 and 381.63 is: 526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.13 : 955.14 = 381.63 : x
  2. Step 2: Convert to fraction form
    692.13/955.14 = 381.63/x
  3. Step 3: Cross multiply
    692.13x = 955.14 × 381.63
  4. Step 4: Simplify right side
    692.13x = 364,510.08
  5. Step 5: Solve for x
    x = 364,510.08/692.13
  6. Step 6: Final answer
    x = 526.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.