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Finding the Fourth Proportional to 411.60, 577.05 and 411.60

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Solution

The fourth proportional to 411.60, 577.05 and 411.60 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 577.05 = 411.60 : x
  2. Step 2: Convert to fraction form
    411.60/577.05 = 411.60/x
  3. Step 3: Cross multiply
    411.60x = 577.05 × 411.60
  4. Step 4: Simplify right side
    411.60x = 237,513.78
  5. Step 5: Solve for x
    x = 237,513.78/411.60
  6. Step 6: Final answer
    x = 577.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.