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Finding the Fourth Proportional to 290.07, 399.09 and 253.32

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Solution

The fourth proportional to 290.07, 399.09 and 253.32 is: 348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 399.09 = 253.32 : x
  2. Step 2: Convert to fraction form
    290.07/399.09 = 253.32/x
  3. Step 3: Cross multiply
    290.07x = 399.09 × 253.32
  4. Step 4: Simplify right side
    290.07x = 101,096.93
  5. Step 5: Solve for x
    x = 101,096.93/290.07
  6. Step 6: Final answer
    x = 348.53

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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.