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Finding the Fourth Proportional to 570.08, 853.20 and 466.16

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Solution

The fourth proportional to 570.08, 853.20 and 466.16 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.08 : 853.20 = 466.16 : x
  2. Step 2: Convert to fraction form
    570.08/853.20 = 466.16/x
  3. Step 3: Cross multiply
    570.08x = 853.20 × 466.16
  4. Step 4: Simplify right side
    570.08x = 397,727.71
  5. Step 5: Solve for x
    x = 397,727.71/570.08
  6. Step 6: Final answer
    x = 697.67

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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.