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Finding the Fourth Proportional to 566.08, 848.82 and 219.16

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Solution

The fourth proportional to 566.08, 848.82 and 219.16 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 848.82 = 219.16 : x
  2. Step 2: Convert to fraction form
    566.08/848.82 = 219.16/x
  3. Step 3: Cross multiply
    566.08x = 848.82 × 219.16
  4. Step 4: Simplify right side
    566.08x = 186,027.39
  5. Step 5: Solve for x
    x = 186,027.39/566.08
  6. Step 6: Final answer
    x = 328.62

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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.