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Finding the Fourth Proportional to 421.61, 633.86 and 336.02

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Solution

The fourth proportional to 421.61, 633.86 and 336.02 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.61 : 633.86 = 336.02 : x
  2. Step 2: Convert to fraction form
    421.61/633.86 = 336.02/x
  3. Step 3: Cross multiply
    421.61x = 633.86 × 336.02
  4. Step 4: Simplify right side
    421.61x = 212,989.64
  5. Step 5: Solve for x
    x = 212,989.64/421.61
  6. Step 6: Final answer
    x = 505.18

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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.