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Finding the Fourth Proportional to 583.36, 804.24 and 376

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Solution

The fourth proportional to 583.36, 804.24 and 376 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 804.24 = 376 : x
  2. Step 2: Convert to fraction form
    583.36/804.24 = 376/x
  3. Step 3: Cross multiply
    583.36x = 804.24 × 376
  4. Step 4: Simplify right side
    583.36x = 302,394.24
  5. Step 5: Solve for x
    x = 302,394.24/583.36
  6. Step 6: Final answer
    x = 518.37

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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.