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Finding the Fourth Proportional to 445.64, 614.14 and 416.46

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Solution

The fourth proportional to 445.64, 614.14 and 416.46 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 614.14 = 416.46 : x
  2. Step 2: Convert to fraction form
    445.64/614.14 = 416.46/x
  3. Step 3: Cross multiply
    445.64x = 614.14 × 416.46
  4. Step 4: Simplify right side
    445.64x = 255,764.74
  5. Step 5: Solve for x
    x = 255,764.74/445.64
  6. Step 6: Final answer
    x = 573.93

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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.