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Finding the Fourth Proportional to 476.64, 657.54 and 302.13

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Solution

The fourth proportional to 476.64, 657.54 and 302.13 is: 416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 657.54 = 302.13 : x
  2. Step 2: Convert to fraction form
    476.64/657.54 = 302.13/x
  3. Step 3: Cross multiply
    476.64x = 657.54 × 302.13
  4. Step 4: Simplify right side
    476.64x = 198,662.56
  5. Step 5: Solve for x
    x = 198,662.56/476.64
  6. Step 6: Final answer
    x = 416.80

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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.