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Finding the Fourth Proportional to 411.30, 613.94 and 383.94

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Solution

The fourth proportional to 411.30, 613.94 and 383.94 is: 573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.30 : 613.94 = 383.94 : x
  2. Step 2: Convert to fraction form
    411.30/613.94 = 383.94/x
  3. Step 3: Cross multiply
    411.30x = 613.94 × 383.94
  4. Step 4: Simplify right side
    411.30x = 235,714.20
  5. Step 5: Solve for x
    x = 235,714.20/411.30
  6. Step 6: Final answer
    x = 573.10

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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.