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Finding the Fourth Proportional to 567.66, 782.97 and 346.73

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Solution

The fourth proportional to 567.66, 782.97 and 346.73 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.66 : 782.97 = 346.73 : x
  2. Step 2: Convert to fraction form
    567.66/782.97 = 346.73/x
  3. Step 3: Cross multiply
    567.66x = 782.97 × 346.73
  4. Step 4: Simplify right side
    567.66x = 271,477.45
  5. Step 5: Solve for x
    x = 271,477.45/567.66
  6. Step 6: Final answer
    x = 478.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.