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Finding the Fourth Proportional to 419.66, 630.10 and 266.56

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Solution

The fourth proportional to 419.66, 630.10 and 266.56 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.66 : 630.10 = 266.56 : x
  2. Step 2: Convert to fraction form
    419.66/630.10 = 266.56/x
  3. Step 3: Cross multiply
    419.66x = 630.10 × 266.56
  4. Step 4: Simplify right side
    419.66x = 167,959.46
  5. Step 5: Solve for x
    x = 167,959.46/419.66
  6. Step 6: Final answer
    x = 400.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.