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Finding the Fourth Proportional to 444.68, 612.06 and 425.24

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Solution

The fourth proportional to 444.68, 612.06 and 425.24 is: 585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.68 : 612.06 = 425.24 : x
  2. Step 2: Convert to fraction form
    444.68/612.06 = 425.24/x
  3. Step 3: Cross multiply
    444.68x = 612.06 × 425.24
  4. Step 4: Simplify right side
    444.68x = 260,272.39
  5. Step 5: Solve for x
    x = 260,272.39/444.68
  6. Step 6: Final answer
    x = 585.30

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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.