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Finding the Fourth Proportional to 567.89, 784.01 and 381.99

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Solution

The fourth proportional to 567.89, 784.01 and 381.99 is: 527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.89 : 784.01 = 381.99 : x
  2. Step 2: Convert to fraction form
    567.89/784.01 = 381.99/x
  3. Step 3: Cross multiply
    567.89x = 784.01 × 381.99
  4. Step 4: Simplify right side
    567.89x = 299,483.98
  5. Step 5: Solve for x
    x = 299,483.98/567.89
  6. Step 6: Final answer
    x = 527.36

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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.