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Finding the Fourth Proportional to 504.16, 694.74 and 410.60

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Solution

The fourth proportional to 504.16, 694.74 and 410.60 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.16 : 694.74 = 410.60 : x
  2. Step 2: Convert to fraction form
    504.16/694.74 = 410.60/x
  3. Step 3: Cross multiply
    504.16x = 694.74 × 410.60
  4. Step 4: Simplify right side
    504.16x = 285,260.24
  5. Step 5: Solve for x
    x = 285,260.24/504.16
  6. Step 6: Final answer
    x = 565.81

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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.