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Finding the Fourth Proportional to 488.22, 670.12 and 446.70

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Solution

The fourth proportional to 488.22, 670.12 and 446.70 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.22 : 670.12 = 446.70 : x
  2. Step 2: Convert to fraction form
    488.22/670.12 = 446.70/x
  3. Step 3: Cross multiply
    488.22x = 670.12 × 446.70
  4. Step 4: Simplify right side
    488.22x = 299,342.60
  5. Step 5: Solve for x
    x = 299,342.60/488.22
  6. Step 6: Final answer
    x = 613.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.