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Finding the Fourth Proportional to 476.32, 657.03 and 301.81

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Solution

The fourth proportional to 476.32, 657.03 and 301.81 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.32 : 657.03 = 301.81 : x
  2. Step 2: Convert to fraction form
    476.32/657.03 = 301.81/x
  3. Step 3: Cross multiply
    476.32x = 657.03 × 301.81
  4. Step 4: Simplify right side
    476.32x = 198,298.22
  5. Step 5: Solve for x
    x = 198,298.22/476.32
  6. Step 6: Final answer
    x = 416.31

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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.