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Finding the Fourth Proportional to 570.21, 855.06 and 262.16

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Solution

The fourth proportional to 570.21, 855.06 and 262.16 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.21 : 855.06 = 262.16 : x
  2. Step 2: Convert to fraction form
    570.21/855.06 = 262.16/x
  3. Step 3: Cross multiply
    570.21x = 855.06 × 262.16
  4. Step 4: Simplify right side
    570.21x = 224,160.48
  5. Step 5: Solve for x
    x = 224,160.48/570.21
  6. Step 6: Final answer
    x = 393.12

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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.