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Finding the Fourth Proportional to 583.30, 794.26 and 583.30

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Solution

The fourth proportional to 583.30, 794.26 and 583.30 is: 794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.30 : 794.26 = 583.30 : x
  2. Step 2: Convert to fraction form
    583.30/794.26 = 583.30/x
  3. Step 3: Cross multiply
    583.30x = 794.26 × 583.30
  4. Step 4: Simplify right side
    583.30x = 463,291.86
  5. Step 5: Solve for x
    x = 463,291.86/583.30
  6. Step 6: Final answer
    x = 794.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.