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Finding the Fourth Proportional to 475.04, 712.51 and 128.36

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Solution

The fourth proportional to 475.04, 712.51 and 128.36 is: 192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.04 : 712.51 = 128.36 : x
  2. Step 2: Convert to fraction form
    475.04/712.51 = 128.36/x
  3. Step 3: Cross multiply
    475.04x = 712.51 × 128.36
  4. Step 4: Simplify right side
    475.04x = 91,457.78
  5. Step 5: Solve for x
    x = 91,457.78/475.04
  6. Step 6: Final answer
    x = 192.53

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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.