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Finding the Fourth Proportional to 290.30, 435.69 and 260.06

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Solution

The fourth proportional to 290.30, 435.69 and 260.06 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.30 : 435.69 = 260.06 : x
  2. Step 2: Convert to fraction form
    290.30/435.69 = 260.06/x
  3. Step 3: Cross multiply
    290.30x = 435.69 × 260.06
  4. Step 4: Simplify right side
    290.30x = 113,305.54
  5. Step 5: Solve for x
    x = 113,305.54/290.30
  6. Step 6: Final answer
    x = 390.30

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Why These Related Problems?

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