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Finding the Fourth Proportional to 511.65, 706.32 and 355.14

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Solution

The fourth proportional to 511.65, 706.32 and 355.14 is: 490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.32 = 355.14 : x
  2. Step 2: Convert to fraction form
    511.65/706.32 = 355.14/x
  3. Step 3: Cross multiply
    511.65x = 706.32 × 355.14
  4. Step 4: Simplify right side
    511.65x = 250,842.48
  5. Step 5: Solve for x
    x = 250,842.48/511.65
  6. Step 6: Final answer
    x = 490.26

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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.