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Finding the Fourth Proportional to 345.98, 477.55 and 276.52

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Solution

The fourth proportional to 345.98, 477.55 and 276.52 is: 381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 477.55 = 276.52 : x
  2. Step 2: Convert to fraction form
    345.98/477.55 = 276.52/x
  3. Step 3: Cross multiply
    345.98x = 477.55 × 276.52
  4. Step 4: Simplify right side
    345.98x = 132,053.07
  5. Step 5: Solve for x
    x = 132,053.07/345.98
  6. Step 6: Final answer
    x = 381.68

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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.