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Finding the Fourth Proportional to 511.84, 705.72 and 364.36

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Solution

The fourth proportional to 511.84, 705.72 and 364.36 is: 502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.84 : 705.72 = 364.36 : x
  2. Step 2: Convert to fraction form
    511.84/705.72 = 364.36/x
  3. Step 3: Cross multiply
    511.84x = 705.72 × 364.36
  4. Step 4: Simplify right side
    511.84x = 257,136.14
  5. Step 5: Solve for x
    x = 257,136.14/511.84
  6. Step 6: Final answer
    x = 502.38

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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.