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Finding the Fourth Proportional to 568.76, 784.95 and 347.74

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Solution

The fourth proportional to 568.76, 784.95 and 347.74 is: 479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.76 : 784.95 = 347.74 : x
  2. Step 2: Convert to fraction form
    568.76/784.95 = 347.74/x
  3. Step 3: Cross multiply
    568.76x = 784.95 × 347.74
  4. Step 4: Simplify right side
    568.76x = 272,956.55
  5. Step 5: Solve for x
    x = 272,956.55/568.76
  6. Step 6: Final answer
    x = 479.91

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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.