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Finding the Fourth Proportional to 566.40, 848.76 and 323.04

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Solution

The fourth proportional to 566.40, 848.76 and 323.04 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.40 : 848.76 = 323.04 : x
  2. Step 2: Convert to fraction form
    566.40/848.76 = 323.04/x
  3. Step 3: Cross multiply
    566.40x = 848.76 × 323.04
  4. Step 4: Simplify right side
    566.40x = 274,183.43
  5. Step 5: Solve for x
    x = 274,183.43/566.40
  6. Step 6: Final answer
    x = 484.08

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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.