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Finding the Fourth Proportional to 511.34, 705.89 and 345.49

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Solution

The fourth proportional to 511.34, 705.89 and 345.49 is: 476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 705.89 = 345.49 : x
  2. Step 2: Convert to fraction form
    511.34/705.89 = 345.49/x
  3. Step 3: Cross multiply
    511.34x = 705.89 × 345.49
  4. Step 4: Simplify right side
    511.34x = 243,877.04
  5. Step 5: Solve for x
    x = 243,877.04/511.34
  6. Step 6: Final answer
    x = 476.94

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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.