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Finding the Fourth Proportional to 567.34, 849.42 and 292.84

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Solution

The fourth proportional to 567.34, 849.42 and 292.84 is: 438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 849.42 = 292.84 : x
  2. Step 2: Convert to fraction form
    567.34/849.42 = 292.84/x
  3. Step 3: Cross multiply
    567.34x = 849.42 × 292.84
  4. Step 4: Simplify right side
    567.34x = 248,744.15
  5. Step 5: Solve for x
    x = 248,744.15/567.34
  6. Step 6: Final answer
    x = 438.44

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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.