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Finding the Fourth Proportional to 595.44, 821.25 and 396.36

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Solution

The fourth proportional to 595.44, 821.25 and 396.36 is: 546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.44 : 821.25 = 396.36 : x
  2. Step 2: Convert to fraction form
    595.44/821.25 = 396.36/x
  3. Step 3: Cross multiply
    595.44x = 821.25 × 396.36
  4. Step 4: Simplify right side
    595.44x = 325,510.65
  5. Step 5: Solve for x
    x = 325,510.65/595.44
  6. Step 6: Final answer
    x = 546.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.