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Finding the Fourth Proportional to 566.07, 847.20 and 428.35

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Solution

The fourth proportional to 566.07, 847.20 and 428.35 is: 641.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 847.20 = 428.35 : x
  2. Step 2: Convert to fraction form
    566.07/847.20 = 428.35/x
  3. Step 3: Cross multiply
    566.07x = 847.20 × 428.35
  4. Step 4: Simplify right side
    566.07x = 362,898.12
  5. Step 5: Solve for x
    x = 362,898.12/566.07
  6. Step 6: Final answer
    x = 641.08

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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.