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Finding the Fourth Proportional to 290.52, 436.32 and 277.92

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Solution

The fourth proportional to 290.52, 436.32 and 277.92 is: 417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 436.32 = 277.92 : x
  2. Step 2: Convert to fraction form
    290.52/436.32 = 277.92/x
  3. Step 3: Cross multiply
    290.52x = 436.32 × 277.92
  4. Step 4: Simplify right side
    290.52x = 121,262.05
  5. Step 5: Solve for x
    x = 121,262.05/290.52
  6. Step 6: Final answer
    x = 417.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.