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Finding the Fourth Proportional to 583.45, 804.81 and 458.92

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Solution

The fourth proportional to 583.45, 804.81 and 458.92 is: 633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.45 : 804.81 = 458.92 : x
  2. Step 2: Convert to fraction form
    583.45/804.81 = 458.92/x
  3. Step 3: Cross multiply
    583.45x = 804.81 × 458.92
  4. Step 4: Simplify right side
    583.45x = 369,343.41
  5. Step 5: Solve for x
    x = 369,343.41/583.45
  6. Step 6: Final answer
    x = 633.03

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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.