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Finding the Fourth Proportional to 511.04, 705.41 and 314.57

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Solution

The fourth proportional to 511.04, 705.41 and 314.57 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.04 : 705.41 = 314.57 : x
  2. Step 2: Convert to fraction form
    511.04/705.41 = 314.57/x
  3. Step 3: Cross multiply
    511.04x = 705.41 × 314.57
  4. Step 4: Simplify right side
    511.04x = 221,900.82
  5. Step 5: Solve for x
    x = 221,900.82/511.04
  6. Step 6: Final answer
    x = 434.21

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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.