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Finding the Fourth Proportional to 567.83, 783.23 and 343.67

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Solution

The fourth proportional to 567.83, 783.23 and 343.67 is: 474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.83 : 783.23 = 343.67 : x
  2. Step 2: Convert to fraction form
    567.83/783.23 = 343.67/x
  3. Step 3: Cross multiply
    567.83x = 783.23 × 343.67
  4. Step 4: Simplify right side
    567.83x = 269,167.02
  5. Step 5: Solve for x
    x = 269,167.02/567.83
  6. Step 6: Final answer
    x = 474.03

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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.