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Finding the Fourth Proportional to 576.60, 795.54 and 411.24

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Solution

The fourth proportional to 576.60, 795.54 and 411.24 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 795.54 = 411.24 : x
  2. Step 2: Convert to fraction form
    576.60/795.54 = 411.24/x
  3. Step 3: Cross multiply
    576.60x = 795.54 × 411.24
  4. Step 4: Simplify right side
    576.60x = 327,157.87
  5. Step 5: Solve for x
    x = 327,157.87/576.60
  6. Step 6: Final answer
    x = 567.39

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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.