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Finding the Fourth Proportional to 692.17, 955.15 and 381.67

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Solution

The fourth proportional to 692.17, 955.15 and 381.67 is: 526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.17 : 955.15 = 381.67 : x
  2. Step 2: Convert to fraction form
    692.17/955.15 = 381.67/x
  3. Step 3: Cross multiply
    692.17x = 955.15 × 381.67
  4. Step 4: Simplify right side
    692.17x = 364,552.10
  5. Step 5: Solve for x
    x = 364,552.10/692.17
  6. Step 6: Final answer
    x = 526.68

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