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Finding the Fourth Proportional to 568.64, 784.26 and 382.01

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Solution

The fourth proportional to 568.64, 784.26 and 382.01 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 784.26 = 382.01 : x
  2. Step 2: Convert to fraction form
    568.64/784.26 = 382.01/x
  3. Step 3: Cross multiply
    568.64x = 784.26 × 382.01
  4. Step 4: Simplify right side
    568.64x = 299,591.24
  5. Step 5: Solve for x
    x = 299,591.24/568.64
  6. Step 6: Final answer
    x = 526.86

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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.