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Finding the Fourth Proportional to 583.15, 874.85 and 309.17

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Solution

The fourth proportional to 583.15, 874.85 and 309.17 is: 463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.15 : 874.85 = 309.17 : x
  2. Step 2: Convert to fraction form
    583.15/874.85 = 309.17/x
  3. Step 3: Cross multiply
    583.15x = 874.85 × 309.17
  4. Step 4: Simplify right side
    583.15x = 270,475.89
  5. Step 5: Solve for x
    x = 270,475.89/583.15
  6. Step 6: Final answer
    x = 463.82

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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.