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Finding the Fourth Proportional to 568.74, 784.81 and 320.05

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Solution

The fourth proportional to 568.74, 784.81 and 320.05 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.74 : 784.81 = 320.05 : x
  2. Step 2: Convert to fraction form
    568.74/784.81 = 320.05/x
  3. Step 3: Cross multiply
    568.74x = 784.81 × 320.05
  4. Step 4: Simplify right side
    568.74x = 251,178.02
  5. Step 5: Solve for x
    x = 251,178.02/568.74
  6. Step 6: Final answer
    x = 441.64

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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.