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Finding the Fourth Proportional to 571.79, 858.22 and 298.08

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Solution

The fourth proportional to 571.79, 858.22 and 298.08 is: 447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.79 : 858.22 = 298.08 : x
  2. Step 2: Convert to fraction form
    571.79/858.22 = 298.08/x
  3. Step 3: Cross multiply
    571.79x = 858.22 × 298.08
  4. Step 4: Simplify right side
    571.79x = 255,818.22
  5. Step 5: Solve for x
    x = 255,818.22/571.79
  6. Step 6: Final answer
    x = 447.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.