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Finding the Fourth Proportional to 444.85, 613.84 and 313.63

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Solution

The fourth proportional to 444.85, 613.84 and 313.63 is: 432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.85 : 613.84 = 313.63 : x
  2. Step 2: Convert to fraction form
    444.85/613.84 = 313.63/x
  3. Step 3: Cross multiply
    444.85x = 613.84 × 313.63
  4. Step 4: Simplify right side
    444.85x = 192,518.64
  5. Step 5: Solve for x
    x = 192,518.64/444.85
  6. Step 6: Final answer
    x = 432.77

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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.