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Finding the Fourth Proportional to 1,456.64, 2,184.96 and 361

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Solution

The fourth proportional to 1,456.64, 2,184.96 and 361 is: 541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.64 : 2,184.96 = 361 : x
  2. Step 2: Convert to fraction form
    1,456.64/2,184.96 = 361/x
  3. Step 3: Cross multiply
    1,456.64x = 2,184.96 × 361
  4. Step 4: Simplify right side
    1,456.64x = 788,770.56
  5. Step 5: Solve for x
    x = 788,770.56/1,456.64
  6. Step 6: Final answer
    x = 541.50

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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.