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Finding the Fourth Proportional to 567.99, 784.22 and 452.43

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Solution

The fourth proportional to 567.99, 784.22 and 452.43 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.99 : 784.22 = 452.43 : x
  2. Step 2: Convert to fraction form
    567.99/784.22 = 452.43/x
  3. Step 3: Cross multiply
    567.99x = 784.22 × 452.43
  4. Step 4: Simplify right side
    567.99x = 354,802.39
  5. Step 5: Solve for x
    x = 354,802.39/567.99
  6. Step 6: Final answer
    x = 624.66

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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.