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Finding the Fourth Proportional to 583.29, 804.75 and 452.07

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Solution

The fourth proportional to 583.29, 804.75 and 452.07 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.29 : 804.75 = 452.07 : x
  2. Step 2: Convert to fraction form
    583.29/804.75 = 452.07/x
  3. Step 3: Cross multiply
    583.29x = 804.75 × 452.07
  4. Step 4: Simplify right side
    583.29x = 363,803.33
  5. Step 5: Solve for x
    x = 363,803.33/583.29
  6. Step 6: Final answer
    x = 623.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.