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Finding the Fourth Proportional to 504.60, 694.38 and 446.52

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Solution

The fourth proportional to 504.60, 694.38 and 446.52 is: 614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.60 : 694.38 = 446.52 : x
  2. Step 2: Convert to fraction form
    504.60/694.38 = 446.52/x
  3. Step 3: Cross multiply
    504.60x = 694.38 × 446.52
  4. Step 4: Simplify right side
    504.60x = 310,054.56
  5. Step 5: Solve for x
    x = 310,054.56/504.60
  6. Step 6: Final answer
    x = 614.46

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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.