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Finding the Fourth Proportional to 445.10, 614.21 and 258.63

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Solution

The fourth proportional to 445.10, 614.21 and 258.63 is: 356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 614.21 = 258.63 : x
  2. Step 2: Convert to fraction form
    445.10/614.21 = 258.63/x
  3. Step 3: Cross multiply
    445.10x = 614.21 × 258.63
  4. Step 4: Simplify right side
    445.10x = 158,853.13
  5. Step 5: Solve for x
    x = 158,853.13/445.10
  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.