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Finding the Fourth Proportional to 568.28, 783.81 and 347.05

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Solution

The fourth proportional to 568.28, 783.81 and 347.05 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.28 : 783.81 = 347.05 : x
  2. Step 2: Convert to fraction form
    568.28/783.81 = 347.05/x
  3. Step 3: Cross multiply
    568.28x = 783.81 × 347.05
  4. Step 4: Simplify right side
    568.28x = 272,022.24
  5. Step 5: Solve for x
    x = 272,022.24/568.28
  6. Step 6: Final answer
    x = 478.67

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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.