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Finding the Fourth Proportional to 476.28, 657.33 and 359.64

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Solution

The fourth proportional to 476.28, 657.33 and 359.64 is: 496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 657.33 = 359.64 : x
  2. Step 2: Convert to fraction form
    476.28/657.33 = 359.64/x
  3. Step 3: Cross multiply
    476.28x = 657.33 × 359.64
  4. Step 4: Simplify right side
    476.28x = 236,402.16
  5. Step 5: Solve for x
    x = 236,402.16/476.28
  6. Step 6: Final answer
    x = 496.35

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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.