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Finding the Fourth Proportional to 290.40, 435.86 and 259.50

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Solution

The fourth proportional to 290.40, 435.86 and 259.50 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 435.86 = 259.50 : x
  2. Step 2: Convert to fraction form
    290.40/435.86 = 259.50/x
  3. Step 3: Cross multiply
    290.40x = 435.86 × 259.50
  4. Step 4: Simplify right side
    290.40x = 113,105.89
  5. Step 5: Solve for x
    x = 113,105.89/290.40
  6. Step 6: Final answer
    x = 389.49

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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.