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Finding the Fourth Proportional to 583.01, 874.62 and 290.49

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Solution

The fourth proportional to 583.01, 874.62 and 290.49 is: 435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.01 : 874.62 = 290.49 : x
  2. Step 2: Convert to fraction form
    583.01/874.62 = 290.49/x
  3. Step 3: Cross multiply
    583.01x = 874.62 × 290.49
  4. Step 4: Simplify right side
    583.01x = 254,068.36
  5. Step 5: Solve for x
    x = 254,068.36/583.01
  6. Step 6: Final answer
    x = 435.79

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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.