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Finding the Fourth Proportional to 583, 804.63 and 350.08

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Solution

The fourth proportional to 583, 804.63 and 350.08 is: 483.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583 : 804.63 = 350.08 : x
  2. Step 2: Convert to fraction form
    583/804.63 = 350.08/x
  3. Step 3: Cross multiply
    583x = 804.63 × 350.08
  4. Step 4: Simplify right side
    583x = 281,684.87
  5. Step 5: Solve for x
    x = 281,684.87/583
  6. Step 6: Final answer
    x = 483.16

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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.