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Finding the Fourth Proportional to 670.58, 925.44 and 422.06

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Solution

The fourth proportional to 670.58, 925.44 and 422.06 is: 582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.58 : 925.44 = 422.06 : x
  2. Step 2: Convert to fraction form
    670.58/925.44 = 422.06/x
  3. Step 3: Cross multiply
    670.58x = 925.44 × 422.06
  4. Step 4: Simplify right side
    670.58x = 390,592.58
  5. Step 5: Solve for x
    x = 390,592.58/670.58
  6. Step 6: Final answer
    x = 582.47

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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.