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Finding the Fourth Proportional to 445.18, 614.30 and 258.74

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Solution

The fourth proportional to 445.18, 614.30 and 258.74 is: 357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.18 : 614.30 = 258.74 : x
  2. Step 2: Convert to fraction form
    445.18/614.30 = 258.74/x
  3. Step 3: Cross multiply
    445.18x = 614.30 × 258.74
  4. Step 4: Simplify right side
    445.18x = 158,943.98
  5. Step 5: Solve for x
    x = 158,943.98/445.18
  6. Step 6: Final answer
    x = 357.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.