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Finding the Fourth Proportional to 504.16, 760.44 and 444.04

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Solution

The fourth proportional to 504.16, 760.44 and 444.04 is: 669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.16 : 760.44 = 444.04 : x
  2. Step 2: Convert to fraction form
    504.16/760.44 = 444.04/x
  3. Step 3: Cross multiply
    504.16x = 760.44 × 444.04
  4. Step 4: Simplify right side
    504.16x = 337,665.78
  5. Step 5: Solve for x
    x = 337,665.78/504.16
  6. Step 6: Final answer
    x = 669.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.