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Finding the Fourth Proportional to 290.12, 435.24 and 214.08

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Solution

The fourth proportional to 290.12, 435.24 and 214.08 is: 321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 435.24 = 214.08 : x
  2. Step 2: Convert to fraction form
    290.12/435.24 = 214.08/x
  3. Step 3: Cross multiply
    290.12x = 435.24 × 214.08
  4. Step 4: Simplify right side
    290.12x = 93,176.18
  5. Step 5: Solve for x
    x = 93,176.18/290.12
  6. Step 6: Final answer
    x = 321.16

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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.