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Finding the Fourth Proportional to 411.04, 612.59 and 387.34

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Solution

The fourth proportional to 411.04, 612.59 and 387.34 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 612.59 = 387.34 : x
  2. Step 2: Convert to fraction form
    411.04/612.59 = 387.34/x
  3. Step 3: Cross multiply
    411.04x = 612.59 × 387.34
  4. Step 4: Simplify right side
    411.04x = 237,280.61
  5. Step 5: Solve for x
    x = 237,280.61/411.04
  6. Step 6: Final answer
    x = 577.27

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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.