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Finding the Fourth Proportional to 477.32, 659.32 and 367.36

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Solution

The fourth proportional to 477.32, 659.32 and 367.36 is: 507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 659.32 = 367.36 : x
  2. Step 2: Convert to fraction form
    477.32/659.32 = 367.36/x
  3. Step 3: Cross multiply
    477.32x = 659.32 × 367.36
  4. Step 4: Simplify right side
    477.32x = 242,207.80
  5. Step 5: Solve for x
    x = 242,207.80/477.32
  6. Step 6: Final answer
    x = 507.43

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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.