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Finding the Fourth Proportional to 290.04, 431.40 and 264.06

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Solution

The fourth proportional to 290.04, 431.40 and 264.06 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.04 : 431.40 = 264.06 : x
  2. Step 2: Convert to fraction form
    290.04/431.40 = 264.06/x
  3. Step 3: Cross multiply
    290.04x = 431.40 × 264.06
  4. Step 4: Simplify right side
    290.04x = 113,915.48
  5. Step 5: Solve for x
    x = 113,915.48/290.04
  6. Step 6: Final answer
    x = 392.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.