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Finding the Fourth Proportional to 291.67, 436.82 and 283.47

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Solution

The fourth proportional to 291.67, 436.82 and 283.47 is: 424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 436.82 = 283.47 : x
  2. Step 2: Convert to fraction form
    291.67/436.82 = 283.47/x
  3. Step 3: Cross multiply
    291.67x = 436.82 × 283.47
  4. Step 4: Simplify right side
    291.67x = 123,821.76
  5. Step 5: Solve for x
    x = 123,821.76/291.67
  6. Step 6: Final answer
    x = 424.53

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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.