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Finding the Fourth Proportional to 469.57, 703.64 and 274.63

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Solution

The fourth proportional to 469.57, 703.64 and 274.63 is: 411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.57 : 703.64 = 274.63 : x
  2. Step 2: Convert to fraction form
    469.57/703.64 = 274.63/x
  3. Step 3: Cross multiply
    469.57x = 703.64 × 274.63
  4. Step 4: Simplify right side
    469.57x = 193,239.58
  5. Step 5: Solve for x
    x = 193,239.58/469.57
  6. Step 6: Final answer
    x = 411.53

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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.