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Finding the Fourth Proportional to 445.66, 669.75 and 263.14

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Solution

The fourth proportional to 445.66, 669.75 and 263.14 is: 395.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.66 : 669.75 = 263.14 : x
  2. Step 2: Convert to fraction form
    445.66/669.75 = 263.14/x
  3. Step 3: Cross multiply
    445.66x = 669.75 × 263.14
  4. Step 4: Simplify right side
    445.66x = 176,238.02
  5. Step 5: Solve for x
    x = 176,238.02/445.66
  6. Step 6: Final answer
    x = 395.45

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Why These Related Problems?

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