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Finding the Fourth Proportional to 421.60, 632.40 and 414.40

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Solution

The fourth proportional to 421.60, 632.40 and 414.40 is: 621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.60 : 632.40 = 414.40 : x
  2. Step 2: Convert to fraction form
    421.60/632.40 = 414.40/x
  3. Step 3: Cross multiply
    421.60x = 632.40 × 414.40
  4. Step 4: Simplify right side
    421.60x = 262,066.56
  5. Step 5: Solve for x
    x = 262,066.56/421.60
  6. Step 6: Final answer
    x = 621.60

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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.