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Finding the Fourth Proportional to 290.27, 435.47 and 263.40

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Solution

The fourth proportional to 290.27, 435.47 and 263.40 is: 395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.27 : 435.47 = 263.40 : x
  2. Step 2: Convert to fraction form
    290.27/435.47 = 263.40/x
  3. Step 3: Cross multiply
    290.27x = 435.47 × 263.40
  4. Step 4: Simplify right side
    290.27x = 114,701.48
  5. Step 5: Solve for x
    x = 114,701.48/290.27
  6. Step 6: Final answer
    x = 395.16

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Why These Related Problems?

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