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Finding the Fourth Proportional to 444.98, 612.76 and 304.95

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Solution

The fourth proportional to 444.98, 612.76 and 304.95 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.98 : 612.76 = 304.95 : x
  2. Step 2: Convert to fraction form
    444.98/612.76 = 304.95/x
  3. Step 3: Cross multiply
    444.98x = 612.76 × 304.95
  4. Step 4: Simplify right side
    444.98x = 186,861.16
  5. Step 5: Solve for x
    x = 186,861.16/444.98
  6. Step 6: Final answer
    x = 419.93

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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.