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Finding the Fourth Proportional to 564.84, 847.44 and 348.48

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Solution

The fourth proportional to 564.84, 847.44 and 348.48 is: 522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 847.44 = 348.48 : x
  2. Step 2: Convert to fraction form
    564.84/847.44 = 348.48/x
  3. Step 3: Cross multiply
    564.84x = 847.44 × 348.48
  4. Step 4: Simplify right side
    564.84x = 295,315.89
  5. Step 5: Solve for x
    x = 295,315.89/564.84
  6. Step 6: Final answer
    x = 522.83

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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.