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Finding the Fourth Proportional to 445.14, 614.26 and 258.63

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Solution

The fourth proportional to 445.14, 614.26 and 258.63 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.14 : 614.26 = 258.63 : x
  2. Step 2: Convert to fraction form
    445.14/614.26 = 258.63/x
  3. Step 3: Cross multiply
    445.14x = 614.26 × 258.63
  4. Step 4: Simplify right side
    445.14x = 158,866.06
  5. Step 5: Solve for x
    x = 158,866.06/445.14
  6. Step 6: Final answer
    x = 356.89

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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.