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Finding the Fourth Proportional to 583.07, 874.71 and 351.68

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Solution

The fourth proportional to 583.07, 874.71 and 351.68 is: 527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.07 : 874.71 = 351.68 : x
  2. Step 2: Convert to fraction form
    583.07/874.71 = 351.68/x
  3. Step 3: Cross multiply
    583.07x = 874.71 × 351.68
  4. Step 4: Simplify right side
    583.07x = 307,613.64
  5. Step 5: Solve for x
    x = 307,613.64/583.07
  6. Step 6: Final answer
    x = 527.58

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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.