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Finding the Fourth Proportional to 566.82, 848.16 and 346.65

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Solution

The fourth proportional to 566.82, 848.16 and 346.65 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 848.16 = 346.65 : x
  2. Step 2: Convert to fraction form
    566.82/848.16 = 346.65/x
  3. Step 3: Cross multiply
    566.82x = 848.16 × 346.65
  4. Step 4: Simplify right side
    566.82x = 294,014.66
  5. Step 5: Solve for x
    x = 294,014.66/566.82
  6. Step 6: Final answer
    x = 518.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.