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Finding the Fourth Proportional to 427.90, 642.45 and 265.90

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Solution

The fourth proportional to 427.90, 642.45 and 265.90 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 642.45 = 265.90 : x
  2. Step 2: Convert to fraction form
    427.90/642.45 = 265.90/x
  3. Step 3: Cross multiply
    427.90x = 642.45 × 265.90
  4. Step 4: Simplify right side
    427.90x = 170,827.46
  5. Step 5: Solve for x
    x = 170,827.46/427.90
  6. Step 6: Final answer
    x = 399.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.