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Finding the Fourth Proportional to 576.36, 794.57 and 410.51

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Solution

The fourth proportional to 576.36, 794.57 and 410.51 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.36 : 794.57 = 410.51 : x
  2. Step 2: Convert to fraction form
    576.36/794.57 = 410.51/x
  3. Step 3: Cross multiply
    576.36x = 794.57 × 410.51
  4. Step 4: Simplify right side
    576.36x = 326,178.93
  5. Step 5: Solve for x
    x = 326,178.93/576.36
  6. Step 6: Final answer
    x = 565.93

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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.