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Finding the Fourth Proportional to 568.07, 784.10 and 347.42

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Solution

The fourth proportional to 568.07, 784.10 and 347.42 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.07 : 784.10 = 347.42 : x
  2. Step 2: Convert to fraction form
    568.07/784.10 = 347.42/x
  3. Step 3: Cross multiply
    568.07x = 784.10 × 347.42
  4. Step 4: Simplify right side
    568.07x = 272,412.02
  5. Step 5: Solve for x
    x = 272,412.02/568.07
  6. Step 6: Final answer
    x = 479.54

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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.