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Finding the Fourth Proportional to 583.46, 804.11 and 473.20

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Solution

The fourth proportional to 583.46, 804.11 and 473.20 is: 652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.46 : 804.11 = 473.20 : x
  2. Step 2: Convert to fraction form
    583.46/804.11 = 473.20/x
  3. Step 3: Cross multiply
    583.46x = 804.11 × 473.20
  4. Step 4: Simplify right side
    583.46x = 380,504.02
  5. Step 5: Solve for x
    x = 380,504.02/583.46
  6. Step 6: Final answer
    x = 652.16

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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.