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Finding the Fourth Proportional to 511.65, 706.06 and 299.00

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Solution

The fourth proportional to 511.65, 706.06 and 299.00 is: 412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.06 = 299.00 : x
  2. Step 2: Convert to fraction form
    511.65/706.06 = 299.00/x
  3. Step 3: Cross multiply
    511.65x = 706.06 × 299.00
  4. Step 4: Simplify right side
    511.65x = 211,114.08
  5. Step 5: Solve for x
    x = 211,114.08/511.65
  6. Step 6: Final answer
    x = 412.61

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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.