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Finding the Fourth Proportional to 567.33, 782.95 and 346.22

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Solution

The fourth proportional to 567.33, 782.95 and 346.22 is: 477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.33 : 782.95 = 346.22 : x
  2. Step 2: Convert to fraction form
    567.33/782.95 = 346.22/x
  3. Step 3: Cross multiply
    567.33x = 782.95 × 346.22
  4. Step 4: Simplify right side
    567.33x = 271,071.75
  5. Step 5: Solve for x
    x = 271,071.75/567.33
  6. Step 6: Final answer
    x = 477.80

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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.