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Finding the Fourth Proportional to 570.42, 855.41 and 310.64

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Solution

The fourth proportional to 570.42, 855.41 and 310.64 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 855.41 = 310.64 : x
  2. Step 2: Convert to fraction form
    570.42/855.41 = 310.64/x
  3. Step 3: Cross multiply
    570.42x = 855.41 × 310.64
  4. Step 4: Simplify right side
    570.42x = 265,718.73
  5. Step 5: Solve for x
    x = 265,718.73/570.42
  6. Step 6: Final answer
    x = 465.83

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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.