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Finding the Fourth Proportional to 568.52, 784.56 and 319.93

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Solution

The fourth proportional to 568.52, 784.56 and 319.93 is: 441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.56 = 319.93 : x
  2. Step 2: Convert to fraction form
    568.52/784.56 = 319.93/x
  3. Step 3: Cross multiply
    568.52x = 784.56 × 319.93
  4. Step 4: Simplify right side
    568.52x = 251,004.28
  5. Step 5: Solve for x
    x = 251,004.28/568.52
  6. Step 6: Final answer
    x = 441.50

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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.