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Finding the Fourth Proportional to 295.34, 407.58 and 274.55

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Solution

The fourth proportional to 295.34, 407.58 and 274.55 is: 378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 407.58 = 274.55 : x
  2. Step 2: Convert to fraction form
    295.34/407.58 = 274.55/x
  3. Step 3: Cross multiply
    295.34x = 407.58 × 274.55
  4. Step 4: Simplify right side
    295.34x = 111,901.09
  5. Step 5: Solve for x
    x = 111,901.09/295.34
  6. Step 6: Final answer
    x = 378.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.