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Finding the Fourth Proportional to 571.12, 854.16 and 339.44

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Solution

The fourth proportional to 571.12, 854.16 and 339.44 is: 507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.12 : 854.16 = 339.44 : x
  2. Step 2: Convert to fraction form
    571.12/854.16 = 339.44/x
  3. Step 3: Cross multiply
    571.12x = 854.16 × 339.44
  4. Step 4: Simplify right side
    571.12x = 289,936.07
  5. Step 5: Solve for x
    x = 289,936.07/571.12
  6. Step 6: Final answer
    x = 507.66

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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.