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Finding the Fourth Proportional to 583.09, 874.07 and 410.15

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Solution

The fourth proportional to 583.09, 874.07 and 410.15 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.09 : 874.07 = 410.15 : x
  2. Step 2: Convert to fraction form
    583.09/874.07 = 410.15/x
  3. Step 3: Cross multiply
    583.09x = 874.07 × 410.15
  4. Step 4: Simplify right side
    583.09x = 358,499.81
  5. Step 5: Solve for x
    x = 358,499.81/583.09
  6. Step 6: Final answer
    x = 614.83

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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.