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Finding the Fourth Proportional to 504.05, 695.25 and 410.80

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Solution

The fourth proportional to 504.05, 695.25 and 410.80 is: 566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.05 : 695.25 = 410.80 : x
  2. Step 2: Convert to fraction form
    504.05/695.25 = 410.80/x
  3. Step 3: Cross multiply
    504.05x = 695.25 × 410.80
  4. Step 4: Simplify right side
    504.05x = 285,608.70
  5. Step 5: Solve for x
    x = 285,608.70/504.05
  6. Step 6: Final answer
    x = 566.63

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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.