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Finding the Fourth Proportional to 346.27, 518.75 and 259.16

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Solution

The fourth proportional to 346.27, 518.75 and 259.16 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.27 : 518.75 = 259.16 : x
  2. Step 2: Convert to fraction form
    346.27/518.75 = 259.16/x
  3. Step 3: Cross multiply
    346.27x = 518.75 × 259.16
  4. Step 4: Simplify right side
    346.27x = 134,437.95
  5. Step 5: Solve for x
    x = 134,437.95/346.27
  6. Step 6: Final answer
    x = 388.25

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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.