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Finding the Fourth Proportional to 562.84, 845.06 and 289.14

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Solution

The fourth proportional to 562.84, 845.06 and 289.14 is: 434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 845.06 = 289.14 : x
  2. Step 2: Convert to fraction form
    562.84/845.06 = 289.14/x
  3. Step 3: Cross multiply
    562.84x = 845.06 × 289.14
  4. Step 4: Simplify right side
    562.84x = 244,340.65
  5. Step 5: Solve for x
    x = 244,340.65/562.84
  6. Step 6: Final answer
    x = 434.12

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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.