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Finding the Fourth Proportional to 584.24, 804.93 and 444.02

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Solution

The fourth proportional to 584.24, 804.93 and 444.02 is: 611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.24 : 804.93 = 444.02 : x
  2. Step 2: Convert to fraction form
    584.24/804.93 = 444.02/x
  3. Step 3: Cross multiply
    584.24x = 804.93 × 444.02
  4. Step 4: Simplify right side
    584.24x = 357,405.02
  5. Step 5: Solve for x
    x = 357,405.02/584.24
  6. Step 6: Final answer
    x = 611.74

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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.