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Finding the Fourth Proportional to 571.16, 857.74 and 356.04

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Solution

The fourth proportional to 571.16, 857.74 and 356.04 is: 534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 857.74 = 356.04 : x
  2. Step 2: Convert to fraction form
    571.16/857.74 = 356.04/x
  3. Step 3: Cross multiply
    571.16x = 857.74 × 356.04
  4. Step 4: Simplify right side
    571.16x = 305,389.75
  5. Step 5: Solve for x
    x = 305,389.75/571.16
  6. Step 6: Final answer
    x = 534.68

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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.