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Finding the Fourth Proportional to 583.17, 874.13 and 409.83

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Solution

The fourth proportional to 583.17, 874.13 and 409.83 is: 614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.17 : 874.13 = 409.83 : x
  2. Step 2: Convert to fraction form
    583.17/874.13 = 409.83/x
  3. Step 3: Cross multiply
    583.17x = 874.13 × 409.83
  4. Step 4: Simplify right side
    583.17x = 358,242.65
  5. Step 5: Solve for x
    x = 358,242.65/583.17
  6. Step 6: Final answer
    x = 614.30

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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.