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Finding the Fourth Proportional to 289.41, 436.70 and 278.16

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Solution

The fourth proportional to 289.41, 436.70 and 278.16 is: 419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 436.70 = 278.16 : x
  2. Step 2: Convert to fraction form
    289.41/436.70 = 278.16/x
  3. Step 3: Cross multiply
    289.41x = 436.70 × 278.16
  4. Step 4: Simplify right side
    289.41x = 121,471.08
  5. Step 5: Solve for x
    x = 121,471.08/289.41
  6. Step 6: Final answer
    x = 419.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.