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Finding the Fourth Proportional to 290.64, 435.54 and 209.30

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Solution

The fourth proportional to 290.64, 435.54 and 209.30 is: 313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 435.54 = 209.30 : x
  2. Step 2: Convert to fraction form
    290.64/435.54 = 209.30/x
  3. Step 3: Cross multiply
    290.64x = 435.54 × 209.30
  4. Step 4: Simplify right side
    290.64x = 91,158.52
  5. Step 5: Solve for x
    x = 91,158.52/290.64
  6. Step 6: Final answer
    x = 313.65

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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.