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Finding the Fourth Proportional to 420.81, 634.33 and 349.13

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Solution

The fourth proportional to 420.81, 634.33 and 349.13 is: 526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.81 : 634.33 = 349.13 : x
  2. Step 2: Convert to fraction form
    420.81/634.33 = 349.13/x
  3. Step 3: Cross multiply
    420.81x = 634.33 × 349.13
  4. Step 4: Simplify right side
    420.81x = 221,463.63
  5. Step 5: Solve for x
    x = 221,463.63/420.81
  6. Step 6: Final answer
    x = 526.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.