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Finding the Fourth Proportional to 571.42, 858.03 and 469.36

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Solution

The fourth proportional to 571.42, 858.03 and 469.36 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.42 : 858.03 = 469.36 : x
  2. Step 2: Convert to fraction form
    571.42/858.03 = 469.36/x
  3. Step 3: Cross multiply
    571.42x = 858.03 × 469.36
  4. Step 4: Simplify right side
    571.42x = 402,724.96
  5. Step 5: Solve for x
    x = 402,724.96/571.42
  6. Step 6: Final answer
    x = 704.78

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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.