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Finding the Fourth Proportional to 670.25, 925.52 and 421.99

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Solution

The fourth proportional to 670.25, 925.52 and 421.99 is: 582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.25 : 925.52 = 421.99 : x
  2. Step 2: Convert to fraction form
    670.25/925.52 = 421.99/x
  3. Step 3: Cross multiply
    670.25x = 925.52 × 421.99
  4. Step 4: Simplify right side
    670.25x = 390,560.18
  5. Step 5: Solve for x
    x = 390,560.18/670.25
  6. Step 6: Final answer
    x = 582.71

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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.