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Finding the Fourth Proportional to 431.65, 595.80 and 276.40

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Solution

The fourth proportional to 431.65, 595.80 and 276.40 is: 381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 595.80 = 276.40 : x
  2. Step 2: Convert to fraction form
    431.65/595.80 = 276.40/x
  3. Step 3: Cross multiply
    431.65x = 595.80 × 276.40
  4. Step 4: Simplify right side
    431.65x = 164,676.14
  5. Step 5: Solve for x
    x = 164,676.14/431.65
  6. Step 6: Final answer
    x = 381.51

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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.