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Finding the Fourth Proportional to 482.95, 721.12 and 414.37

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Solution

The fourth proportional to 482.95, 721.12 and 414.37 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.95 : 721.12 = 414.37 : x
  2. Step 2: Convert to fraction form
    482.95/721.12 = 414.37/x
  3. Step 3: Cross multiply
    482.95x = 721.12 × 414.37
  4. Step 4: Simplify right side
    482.95x = 298,810.49
  5. Step 5: Solve for x
    x = 298,810.49/482.95
  6. Step 6: Final answer
    x = 618.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.