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Finding the Fourth Proportional to 584.52, 804.96 and 473.28

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Solution

The fourth proportional to 584.52, 804.96 and 473.28 is: 651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.52 : 804.96 = 473.28 : x
  2. Step 2: Convert to fraction form
    584.52/804.96 = 473.28/x
  3. Step 3: Cross multiply
    584.52x = 804.96 × 473.28
  4. Step 4: Simplify right side
    584.52x = 380,971.47
  5. Step 5: Solve for x
    x = 380,971.47/584.52
  6. Step 6: Final answer
    x = 651.77

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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.