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Finding the Fourth Proportional to 511.16, 705.24 and 314.60

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Solution

The fourth proportional to 511.16, 705.24 and 314.60 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 705.24 = 314.60 : x
  2. Step 2: Convert to fraction form
    511.16/705.24 = 314.60/x
  3. Step 3: Cross multiply
    511.16x = 705.24 × 314.60
  4. Step 4: Simplify right side
    511.16x = 221,864.98
  5. Step 5: Solve for x
    x = 221,864.98/511.16
  6. Step 6: Final answer
    x = 434.05

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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.