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Finding the Fourth Proportional to 566.30, 847.56 and 322.76

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Solution

The fourth proportional to 566.30, 847.56 and 322.76 is: 483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.30 : 847.56 = 322.76 : x
  2. Step 2: Convert to fraction form
    566.30/847.56 = 322.76/x
  3. Step 3: Cross multiply
    566.30x = 847.56 × 322.76
  4. Step 4: Simplify right side
    566.30x = 273,558.47
  5. Step 5: Solve for x
    x = 273,558.47/566.30
  6. Step 6: Final answer
    x = 483.06

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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.