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Finding the Fourth Proportional to 468, 646.20 and 370.26

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Solution

The fourth proportional to 468, 646.20 and 370.26 is: 511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 646.20 = 370.26 : x
  2. Step 2: Convert to fraction form
    468/646.20 = 370.26/x
  3. Step 3: Cross multiply
    468x = 646.20 × 370.26
  4. Step 4: Simplify right side
    468x = 239,262.01
  5. Step 5: Solve for x
    x = 239,262.01/468
  6. Step 6: Final answer
    x = 511.24

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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.