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Finding the Fourth Proportional to 475.37, 711.92 and 436.42

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Solution

The fourth proportional to 475.37, 711.92 and 436.42 is: 653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.37 : 711.92 = 436.42 : x
  2. Step 2: Convert to fraction form
    475.37/711.92 = 436.42/x
  3. Step 3: Cross multiply
    475.37x = 711.92 × 436.42
  4. Step 4: Simplify right side
    475.37x = 310,698.11
  5. Step 5: Solve for x
    x = 310,698.11/475.37
  6. Step 6: Final answer
    x = 653.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.