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Finding the Fourth Proportional to 511.15, 705.39 and 278.26

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Solution

The fourth proportional to 511.15, 705.39 and 278.26 is: 384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.15 : 705.39 = 278.26 : x
  2. Step 2: Convert to fraction form
    511.15/705.39 = 278.26/x
  3. Step 3: Cross multiply
    511.15x = 705.39 × 278.26
  4. Step 4: Simplify right side
    511.15x = 196,281.82
  5. Step 5: Solve for x
    x = 196,281.82/511.15
  6. Step 6: Final answer
    x = 384.00

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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.