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Finding the Fourth Proportional to 568.10, 784.00 and 332.22

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Solution

The fourth proportional to 568.10, 784.00 and 332.22 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.10 : 784.00 = 332.22 : x
  2. Step 2: Convert to fraction form
    568.10/784.00 = 332.22/x
  3. Step 3: Cross multiply
    568.10x = 784.00 × 332.22
  4. Step 4: Simplify right side
    568.10x = 260,457.56
  5. Step 5: Solve for x
    x = 260,457.56/568.10
  6. Step 6: Final answer
    x = 458.47

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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.