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Finding the Fourth Proportional to 583.83, 806.85 and 478.76

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Solution

The fourth proportional to 583.83, 806.85 and 478.76 is: 661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.83 : 806.85 = 478.76 : x
  2. Step 2: Convert to fraction form
    583.83/806.85 = 478.76/x
  3. Step 3: Cross multiply
    583.83x = 806.85 × 478.76
  4. Step 4: Simplify right side
    583.83x = 386,281.08
  5. Step 5: Solve for x
    x = 386,281.08/583.83
  6. Step 6: Final answer
    x = 661.63

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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.