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Finding the Fourth Proportional to 289, 397.54 and 277.16

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Solution

The fourth proportional to 289, 397.54 and 277.16 is: 381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 397.54 = 277.16 : x
  2. Step 2: Convert to fraction form
    289/397.54 = 277.16/x
  3. Step 3: Cross multiply
    289x = 397.54 × 277.16
  4. Step 4: Simplify right side
    289x = 110,182.19
  5. Step 5: Solve for x
    x = 110,182.19/289
  6. Step 6: Final answer
    x = 381.25

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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.