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Finding the Fourth Proportional to 563.68, 844.56 and 357.76

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Solution

The fourth proportional to 563.68, 844.56 and 357.76 is: 536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 844.56 = 357.76 : x
  2. Step 2: Convert to fraction form
    563.68/844.56 = 357.76/x
  3. Step 3: Cross multiply
    563.68x = 844.56 × 357.76
  4. Step 4: Simplify right side
    563.68x = 302,149.79
  5. Step 5: Solve for x
    x = 302,149.79/563.68
  6. Step 6: Final answer
    x = 536.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.