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Finding the Fourth Proportional to 670.63, 925.68 and 460.73

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Solution

The fourth proportional to 670.63, 925.68 and 460.73 is: 635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.63 : 925.68 = 460.73 : x
  2. Step 2: Convert to fraction form
    670.63/925.68 = 460.73/x
  3. Step 3: Cross multiply
    670.63x = 925.68 × 460.73
  4. Step 4: Simplify right side
    670.63x = 426,488.55
  5. Step 5: Solve for x
    x = 426,488.55/670.63
  6. Step 6: Final answer
    x = 635.95

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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.