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Finding the Fourth Proportional to 442.70, 663.62 and 260.06

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Solution

The fourth proportional to 442.70, 663.62 and 260.06 is: 389.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.70 : 663.62 = 260.06 : x
  2. Step 2: Convert to fraction form
    442.70/663.62 = 260.06/x
  3. Step 3: Cross multiply
    442.70x = 663.62 × 260.06
  4. Step 4: Simplify right side
    442.70x = 172,581.02
  5. Step 5: Solve for x
    x = 172,581.02/442.70
  6. Step 6: Final answer
    x = 389.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.