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Finding the Fourth Proportional to 583.64, 874.09 and 461.08

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Solution

The fourth proportional to 583.64, 874.09 and 461.08 is: 690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 874.09 = 461.08 : x
  2. Step 2: Convert to fraction form
    583.64/874.09 = 461.08/x
  3. Step 3: Cross multiply
    583.64x = 874.09 × 461.08
  4. Step 4: Simplify right side
    583.64x = 403,022.17
  5. Step 5: Solve for x
    x = 403,022.17/583.64
  6. Step 6: Final answer
    x = 690.53

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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.