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Finding the Fourth Proportional to 421.89, 577.16 and 414.60

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Solution

The fourth proportional to 421.89, 577.16 and 414.60 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.89 : 577.16 = 414.60 : x
  2. Step 2: Convert to fraction form
    421.89/577.16 = 414.60/x
  3. Step 3: Cross multiply
    421.89x = 577.16 × 414.60
  4. Step 4: Simplify right side
    421.89x = 239,288.46
  5. Step 5: Solve for x
    x = 239,288.46/421.89
  6. Step 6: Final answer
    x = 567.18

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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.