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Finding the Fourth Proportional to 583.10, 874.29 and 275.10

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Solution

The fourth proportional to 583.10, 874.29 and 275.10 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.10 : 874.29 = 275.10 : x
  2. Step 2: Convert to fraction form
    583.10/874.29 = 275.10/x
  3. Step 3: Cross multiply
    583.10x = 874.29 × 275.10
  4. Step 4: Simplify right side
    583.10x = 240,514.93
  5. Step 5: Solve for x
    x = 240,514.93/583.10
  6. Step 6: Final answer
    x = 412.48

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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.