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Finding the Fourth Proportional to 427.54, 589.90 and 259.57

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Solution

The fourth proportional to 427.54, 589.90 and 259.57 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.54 : 589.90 = 259.57 : x
  2. Step 2: Convert to fraction form
    427.54/589.90 = 259.57/x
  3. Step 3: Cross multiply
    427.54x = 589.90 × 259.57
  4. Step 4: Simplify right side
    427.54x = 153,120.34
  5. Step 5: Solve for x
    x = 153,120.34/427.54
  6. Step 6: Final answer
    x = 358.14

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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.