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Finding the Fourth Proportional to 476.63, 657.76 and 266.80

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Solution

The fourth proportional to 476.63, 657.76 and 266.80 is: 368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.63 : 657.76 = 266.80 : x
  2. Step 2: Convert to fraction form
    476.63/657.76 = 266.80/x
  3. Step 3: Cross multiply
    476.63x = 657.76 × 266.80
  4. Step 4: Simplify right side
    476.63x = 175,490.37
  5. Step 5: Solve for x
    x = 175,490.37/476.63
  6. Step 6: Final answer
    x = 368.19

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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.