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Finding the Fourth Proportional to 583.44, 874.08 and 446.64

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Solution

The fourth proportional to 583.44, 874.08 and 446.64 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.44 : 874.08 = 446.64 : x
  2. Step 2: Convert to fraction form
    583.44/874.08 = 446.64/x
  3. Step 3: Cross multiply
    583.44x = 874.08 × 446.64
  4. Step 4: Simplify right side
    583.44x = 390,399.09
  5. Step 5: Solve for x
    x = 390,399.09/583.44
  6. Step 6: Final answer
    x = 669.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.