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Finding the Fourth Proportional to 345.90, 477.58 and 267.09

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Solution

The fourth proportional to 345.90, 477.58 and 267.09 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 477.58 = 267.09 : x
  2. Step 2: Convert to fraction form
    345.90/477.58 = 267.09/x
  3. Step 3: Cross multiply
    345.90x = 477.58 × 267.09
  4. Step 4: Simplify right side
    345.90x = 127,554.88
  5. Step 5: Solve for x
    x = 127,554.88/345.90
  6. Step 6: Final answer
    x = 368.76

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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.