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Finding the Fourth Proportional to 570.32, 855.84 and 364.16

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Solution

The fourth proportional to 570.32, 855.84 and 364.16 is: 546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.32 : 855.84 = 364.16 : x
  2. Step 2: Convert to fraction form
    570.32/855.84 = 364.16/x
  3. Step 3: Cross multiply
    570.32x = 855.84 × 364.16
  4. Step 4: Simplify right side
    570.32x = 311,662.69
  5. Step 5: Solve for x
    x = 311,662.69/570.32
  6. Step 6: Final answer
    x = 546.47

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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.