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Finding the Fourth Proportional to 692.03, 954.38 and 458.75

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Solution

The fourth proportional to 692.03, 954.38 and 458.75 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.03 : 954.38 = 458.75 : x
  2. Step 2: Convert to fraction form
    692.03/954.38 = 458.75/x
  3. Step 3: Cross multiply
    692.03x = 954.38 × 458.75
  4. Step 4: Simplify right side
    692.03x = 437,819.53
  5. Step 5: Solve for x
    x = 437,819.53/692.03
  6. Step 6: Final answer
    x = 632.66

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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.