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Finding the Fourth Proportional to 570.18, 855.31 and 418.00

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Solution

The fourth proportional to 570.18, 855.31 and 418.00 is: 627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 855.31 = 418.00 : x
  2. Step 2: Convert to fraction form
    570.18/855.31 = 418.00/x
  3. Step 3: Cross multiply
    570.18x = 855.31 × 418.00
  4. Step 4: Simplify right side
    570.18x = 357,516.35
  5. Step 5: Solve for x
    x = 357,516.35/570.18
  6. Step 6: Final answer
    x = 627.03

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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.