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Finding the Fourth Proportional to 576.59, 794.86 and 410.74

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Solution

The fourth proportional to 576.59, 794.86 and 410.74 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.59 : 794.86 = 410.74 : x
  2. Step 2: Convert to fraction form
    576.59/794.86 = 410.74/x
  3. Step 3: Cross multiply
    576.59x = 794.86 × 410.74
  4. Step 4: Simplify right side
    576.59x = 326,477.78
  5. Step 5: Solve for x
    x = 326,477.78/576.59
  6. Step 6: Final answer
    x = 566.23

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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.