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Finding the Fourth Proportional to 444.12, 612.54 and 320.24

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Solution

The fourth proportional to 444.12, 612.54 and 320.24 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 612.54 = 320.24 : x
  2. Step 2: Convert to fraction form
    444.12/612.54 = 320.24/x
  3. Step 3: Cross multiply
    444.12x = 612.54 × 320.24
  4. Step 4: Simplify right side
    444.12x = 196,159.81
  5. Step 5: Solve for x
    x = 196,159.81/444.12
  6. Step 6: Final answer
    x = 441.68

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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.