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Finding the Fourth Proportional to 427.84, 589.95 and 295.12

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Solution

The fourth proportional to 427.84, 589.95 and 295.12 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 589.95 = 295.12 : x
  2. Step 2: Convert to fraction form
    427.84/589.95 = 295.12/x
  3. Step 3: Cross multiply
    427.84x = 589.95 × 295.12
  4. Step 4: Simplify right side
    427.84x = 174,106.04
  5. Step 5: Solve for x
    x = 174,106.04/427.84
  6. Step 6: Final answer
    x = 406.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.