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Finding the Fourth Proportional to 859, 1,289.10 and 346

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Solution

The fourth proportional to 859, 1,289.10 and 346 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    859 : 1,289.10 = 346 : x
  2. Step 2: Convert to fraction form
    859/1,289.10 = 346/x
  3. Step 3: Cross multiply
    859x = 1,289.10 × 346
  4. Step 4: Simplify right side
    859x = 446,028.60
  5. Step 5: Solve for x
    x = 446,028.60/859
  6. Step 6: Final answer
    x = 519.24

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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.