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Finding the Fourth Proportional to 504.72, 693.54 and 411.24

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Solution

The fourth proportional to 504.72, 693.54 and 411.24 is: 565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.72 : 693.54 = 411.24 : x
  2. Step 2: Convert to fraction form
    504.72/693.54 = 411.24/x
  3. Step 3: Cross multiply
    504.72x = 693.54 × 411.24
  4. Step 4: Simplify right side
    504.72x = 285,211.39
  5. Step 5: Solve for x
    x = 285,211.39/504.72
  6. Step 6: Final answer
    x = 565.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.