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Finding the Fourth Proportional to 583.22, 874.49 and 290.07

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Solution

The fourth proportional to 583.22, 874.49 and 290.07 is: 434.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.22 : 874.49 = 290.07 : x
  2. Step 2: Convert to fraction form
    583.22/874.49 = 290.07/x
  3. Step 3: Cross multiply
    583.22x = 874.49 × 290.07
  4. Step 4: Simplify right side
    583.22x = 253,661.86
  5. Step 5: Solve for x
    x = 253,661.86/583.22
  6. Step 6: Final answer
    x = 434.93

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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.