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Finding the Fourth Proportional to 511.02, 705.34 and 314.56

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Solution

The fourth proportional to 511.02, 705.34 and 314.56 is: 434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.02 : 705.34 = 314.56 : x
  2. Step 2: Convert to fraction form
    511.02/705.34 = 314.56/x
  3. Step 3: Cross multiply
    511.02x = 705.34 × 314.56
  4. Step 4: Simplify right side
    511.02x = 221,871.75
  5. Step 5: Solve for x
    x = 221,871.75/511.02
  6. Step 6: Final answer
    x = 434.17

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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.