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Finding the Fourth Proportional to 583.03, 804.86 and 362.13

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Solution

The fourth proportional to 583.03, 804.86 and 362.13 is: 499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.03 : 804.86 = 362.13 : x
  2. Step 2: Convert to fraction form
    583.03/804.86 = 362.13/x
  3. Step 3: Cross multiply
    583.03x = 804.86 × 362.13
  4. Step 4: Simplify right side
    583.03x = 291,463.95
  5. Step 5: Solve for x
    x = 291,463.95/583.03
  6. Step 6: Final answer
    x = 499.91

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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.