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Finding the Fourth Proportional to 445.49, 614.58 and 297.98

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Solution

The fourth proportional to 445.49, 614.58 and 297.98 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.49 : 614.58 = 297.98 : x
  2. Step 2: Convert to fraction form
    445.49/614.58 = 297.98/x
  3. Step 3: Cross multiply
    445.49x = 614.58 × 297.98
  4. Step 4: Simplify right side
    445.49x = 183,132.55
  5. Step 5: Solve for x
    x = 183,132.55/445.49
  6. Step 6: Final answer
    x = 411.08

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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.