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Finding the Fourth Proportional to 583.82, 804.88 and 459

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Solution

The fourth proportional to 583.82, 804.88 and 459 is: 632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.82 : 804.88 = 459 : x
  2. Step 2: Convert to fraction form
    583.82/804.88 = 459/x
  3. Step 3: Cross multiply
    583.82x = 804.88 × 459
  4. Step 4: Simplify right side
    583.82x = 369,439.92
  5. Step 5: Solve for x
    x = 369,439.92/583.82
  6. Step 6: Final answer
    x = 632.80

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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.