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Finding the Fourth Proportional to 670.59, 926 and 422.34

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Solution

The fourth proportional to 670.59, 926 and 422.34 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.59 : 926 = 422.34 : x
  2. Step 2: Convert to fraction form
    670.59/926 = 422.34/x
  3. Step 3: Cross multiply
    670.59x = 926 × 422.34
  4. Step 4: Simplify right side
    670.59x = 391,086.84
  5. Step 5: Solve for x
    x = 391,086.84/670.59
  6. Step 6: Final answer
    x = 583.20

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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.