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Finding the Fourth Proportional to 583.86, 804.86 and 417.98

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Solution

The fourth proportional to 583.86, 804.86 and 417.98 is: 576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 804.86 = 417.98 : x
  2. Step 2: Convert to fraction form
    583.86/804.86 = 417.98/x
  3. Step 3: Cross multiply
    583.86x = 804.86 × 417.98
  4. Step 4: Simplify right side
    583.86x = 336,415.38
  5. Step 5: Solve for x
    x = 336,415.38/583.86
  6. Step 6: Final answer
    x = 576.19

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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.