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Finding the Fourth Proportional to 476.63, 657.46 and 302.08

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Solution

The fourth proportional to 476.63, 657.46 and 302.08 is: 416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.63 : 657.46 = 302.08 : x
  2. Step 2: Convert to fraction form
    476.63/657.46 = 302.08/x
  3. Step 3: Cross multiply
    476.63x = 657.46 × 302.08
  4. Step 4: Simplify right side
    476.63x = 198,604.25
  5. Step 5: Solve for x
    x = 198,604.25/476.63
  6. Step 6: Final answer
    x = 416.68

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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.