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Finding the Fourth Proportional to 583.00, 804.53 and 320.96

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Solution

The fourth proportional to 583.00, 804.53 and 320.96 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.00 : 804.53 = 320.96 : x
  2. Step 2: Convert to fraction form
    583.00/804.53 = 320.96/x
  3. Step 3: Cross multiply
    583.00x = 804.53 × 320.96
  4. Step 4: Simplify right side
    583.00x = 258,224.76
  5. Step 5: Solve for x
    x = 258,224.76/583.00
  6. Step 6: Final answer
    x = 442.93

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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.