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Finding the Fourth Proportional to 431.72, 595.48 and 276.40

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Solution

The fourth proportional to 431.72, 595.48 and 276.40 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.72 : 595.48 = 276.40 : x
  2. Step 2: Convert to fraction form
    431.72/595.48 = 276.40/x
  3. Step 3: Cross multiply
    431.72x = 595.48 × 276.40
  4. Step 4: Simplify right side
    431.72x = 164,590.67
  5. Step 5: Solve for x
    x = 164,590.67/431.72
  6. Step 6: Final answer
    x = 381.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.