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Finding the Fourth Proportional to 583.02, 804.81 and 417.30

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Solution

The fourth proportional to 583.02, 804.81 and 417.30 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.02 : 804.81 = 417.30 : x
  2. Step 2: Convert to fraction form
    583.02/804.81 = 417.30/x
  3. Step 3: Cross multiply
    583.02x = 804.81 × 417.30
  4. Step 4: Simplify right side
    583.02x = 335,847.21
  5. Step 5: Solve for x
    x = 335,847.21/583.02
  6. Step 6: Final answer
    x = 576.05

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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.