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Finding the Fourth Proportional to 692.84, 956.13 and 382.34

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Solution

The fourth proportional to 692.84, 956.13 and 382.34 is: 527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 956.13 = 382.34 : x
  2. Step 2: Convert to fraction form
    692.84/956.13 = 382.34/x
  3. Step 3: Cross multiply
    692.84x = 956.13 × 382.34
  4. Step 4: Simplify right side
    692.84x = 365,566.74
  5. Step 5: Solve for x
    x = 365,566.74/692.84
  6. Step 6: Final answer
    x = 527.64

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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.