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Finding the Fourth Proportional to 433.91, 653.24 and 395.65

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Solution

The fourth proportional to 433.91, 653.24 and 395.65 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 653.24 = 395.65 : x
  2. Step 2: Convert to fraction form
    433.91/653.24 = 395.65/x
  3. Step 3: Cross multiply
    433.91x = 653.24 × 395.65
  4. Step 4: Simplify right side
    433.91x = 258,454.41
  5. Step 5: Solve for x
    x = 258,454.41/433.91
  6. Step 6: Final answer
    x = 595.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.