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Finding the Fourth Proportional to 670.52, 925.61 and 460.62

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Solution

The fourth proportional to 670.52, 925.61 and 460.62 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.52 : 925.61 = 460.62 : x
  2. Step 2: Convert to fraction form
    670.52/925.61 = 460.62/x
  3. Step 3: Cross multiply
    670.52x = 925.61 × 460.62
  4. Step 4: Simplify right side
    670.52x = 426,352.18
  5. Step 5: Solve for x
    x = 426,352.18/670.52
  6. Step 6: Final answer
    x = 635.85

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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.