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Finding the Fourth Proportional to 444.74, 612.24 and 386.50

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Solution

The fourth proportional to 444.74, 612.24 and 386.50 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.74 : 612.24 = 386.50 : x
  2. Step 2: Convert to fraction form
    444.74/612.24 = 386.50/x
  3. Step 3: Cross multiply
    444.74x = 612.24 × 386.50
  4. Step 4: Simplify right side
    444.74x = 236,630.76
  5. Step 5: Solve for x
    x = 236,630.76/444.74
  6. Step 6: Final answer
    x = 532.07

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