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Finding the Fourth Proportional to 583.53, 874.66 and 309.35

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Solution

The fourth proportional to 583.53, 874.66 and 309.35 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.53 : 874.66 = 309.35 : x
  2. Step 2: Convert to fraction form
    583.53/874.66 = 309.35/x
  3. Step 3: Cross multiply
    583.53x = 874.66 × 309.35
  4. Step 4: Simplify right side
    583.53x = 270,576.07
  5. Step 5: Solve for x
    x = 270,576.07/583.53
  6. Step 6: Final answer
    x = 463.69

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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.