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Finding the Fourth Proportional to 566.14, 848.54 and 322.84

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Solution

The fourth proportional to 566.14, 848.54 and 322.84 is: 483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.14 : 848.54 = 322.84 : x
  2. Step 2: Convert to fraction form
    566.14/848.54 = 322.84/x
  3. Step 3: Cross multiply
    566.14x = 848.54 × 322.84
  4. Step 4: Simplify right side
    566.14x = 273,942.65
  5. Step 5: Solve for x
    x = 273,942.65/566.14
  6. Step 6: Final answer
    x = 483.88

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