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Finding the Fourth Proportional to 578.36, 797.18 and 410.10

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Solution

The fourth proportional to 578.36, 797.18 and 410.10 is: 565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.36 : 797.18 = 410.10 : x
  2. Step 2: Convert to fraction form
    578.36/797.18 = 410.10/x
  3. Step 3: Cross multiply
    578.36x = 797.18 × 410.10
  4. Step 4: Simplify right side
    578.36x = 326,923.52
  5. Step 5: Solve for x
    x = 326,923.52/578.36
  6. Step 6: Final answer
    x = 565.26

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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.