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Finding the Fourth Proportional to 289.74, 432.96 and 274.35

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Solution

The fourth proportional to 289.74, 432.96 and 274.35 is: 409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.74 : 432.96 = 274.35 : x
  2. Step 2: Convert to fraction form
    289.74/432.96 = 274.35/x
  3. Step 3: Cross multiply
    289.74x = 432.96 × 274.35
  4. Step 4: Simplify right side
    289.74x = 118,782.58
  5. Step 5: Solve for x
    x = 118,782.58/289.74
  6. Step 6: Final answer
    x = 409.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.