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Finding the Fourth Proportional to 461.04, 633.61 and 414.90

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Solution

The fourth proportional to 461.04, 633.61 and 414.90 is: 570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.04 : 633.61 = 414.90 : x
  2. Step 2: Convert to fraction form
    461.04/633.61 = 414.90/x
  3. Step 3: Cross multiply
    461.04x = 633.61 × 414.90
  4. Step 4: Simplify right side
    461.04x = 262,883.75
  5. Step 5: Solve for x
    x = 262,883.75/461.04
  6. Step 6: Final answer
    x = 570.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.