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Finding the Fourth Proportional to 504.02, 693.61 and 466.36

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Solution

The fourth proportional to 504.02, 693.61 and 466.36 is: 641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.02 : 693.61 = 466.36 : x
  2. Step 2: Convert to fraction form
    504.02/693.61 = 466.36/x
  3. Step 3: Cross multiply
    504.02x = 693.61 × 466.36
  4. Step 4: Simplify right side
    504.02x = 323,471.68
  5. Step 5: Solve for x
    x = 323,471.68/504.02
  6. Step 6: Final answer
    x = 641.78

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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.