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Finding the Fourth Proportional to 568.62, 784.13 and 421.00

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Solution

The fourth proportional to 568.62, 784.13 and 421.00 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 784.13 = 421.00 : x
  2. Step 2: Convert to fraction form
    568.62/784.13 = 421.00/x
  3. Step 3: Cross multiply
    568.62x = 784.13 × 421.00
  4. Step 4: Simplify right side
    568.62x = 330,117.03
  5. Step 5: Solve for x
    x = 330,117.03/568.62
  6. Step 6: Final answer
    x = 580.56

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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.