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Finding the Fourth Proportional to 568.59, 784.56 and 347.46

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Solution

The fourth proportional to 568.59, 784.56 and 347.46 is: 479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.59 : 784.56 = 347.46 : x
  2. Step 2: Convert to fraction form
    568.59/784.56 = 347.46/x
  3. Step 3: Cross multiply
    568.59x = 784.56 × 347.46
  4. Step 4: Simplify right side
    568.59x = 272,603.22
  5. Step 5: Solve for x
    x = 272,603.22/568.59
  6. Step 6: Final answer
    x = 479.44

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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.