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Finding the Fourth Proportional to 435.68, 652.14 and 289.14

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Solution

The fourth proportional to 435.68, 652.14 and 289.14 is: 432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.68 : 652.14 = 289.14 : x
  2. Step 2: Convert to fraction form
    435.68/652.14 = 289.14/x
  3. Step 3: Cross multiply
    435.68x = 652.14 × 289.14
  4. Step 4: Simplify right side
    435.68x = 188,559.76
  5. Step 5: Solve for x
    x = 188,559.76/435.68
  6. Step 6: Final answer
    x = 432.79

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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.