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Finding the Fourth Proportional to 511.26, 705.54 and 278.40

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Solution

The fourth proportional to 511.26, 705.54 and 278.40 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.26 : 705.54 = 278.40 : x
  2. Step 2: Convert to fraction form
    511.26/705.54 = 278.40/x
  3. Step 3: Cross multiply
    511.26x = 705.54 × 278.40
  4. Step 4: Simplify right side
    511.26x = 196,422.34
  5. Step 5: Solve for x
    x = 196,422.34/511.26
  6. Step 6: Final answer
    x = 384.19

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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.