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Finding the Fourth Proportional to 570.32, 854.16 and 353.12

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Solution

The fourth proportional to 570.32, 854.16 and 353.12 is: 528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.32 : 854.16 = 353.12 : x
  2. Step 2: Convert to fraction form
    570.32/854.16 = 353.12/x
  3. Step 3: Cross multiply
    570.32x = 854.16 × 353.12
  4. Step 4: Simplify right side
    570.32x = 301,620.98
  5. Step 5: Solve for x
    x = 301,620.98/570.32
  6. Step 6: Final answer
    x = 528.86

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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.