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Finding the Fourth Proportional to 564.76, 847.32 and 556.30

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Solution

The fourth proportional to 564.76, 847.32 and 556.30 is: 834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.76 : 847.32 = 556.30 : x
  2. Step 2: Convert to fraction form
    564.76/847.32 = 556.30/x
  3. Step 3: Cross multiply
    564.76x = 847.32 × 556.30
  4. Step 4: Simplify right side
    564.76x = 471,364.12
  5. Step 5: Solve for x
    x = 471,364.12/564.76
  6. Step 6: Final answer
    x = 834.63

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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.