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Finding the Fourth Proportional to 565.83, 848.16 and 219.06

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Solution

The fourth proportional to 565.83, 848.16 and 219.06 is: 328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 848.16 = 219.06 : x
  2. Step 2: Convert to fraction form
    565.83/848.16 = 219.06/x
  3. Step 3: Cross multiply
    565.83x = 848.16 × 219.06
  4. Step 4: Simplify right side
    565.83x = 185,797.93
  5. Step 5: Solve for x
    x = 185,797.93/565.83
  6. Step 6: Final answer
    x = 328.36

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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.