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Finding the Fourth Proportional to 571.96, 788.84 and 498.15

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Solution

The fourth proportional to 571.96, 788.84 and 498.15 is: 687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.96 : 788.84 = 498.15 : x
  2. Step 2: Convert to fraction form
    571.96/788.84 = 498.15/x
  3. Step 3: Cross multiply
    571.96x = 788.84 × 498.15
  4. Step 4: Simplify right side
    571.96x = 392,960.02
  5. Step 5: Solve for x
    x = 392,960.02/571.96
  6. Step 6: Final answer
    x = 687.04

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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.