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Finding the Fourth Proportional to 1,455.31, 2,182.94 and 359.67

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Solution

The fourth proportional to 1,455.31, 2,182.94 and 359.67 is: 539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.31 : 2,182.94 = 359.67 : x
  2. Step 2: Convert to fraction form
    1,455.31/2,182.94 = 359.67/x
  3. Step 3: Cross multiply
    1,455.31x = 2,182.94 × 359.67
  4. Step 4: Simplify right side
    1,455.31x = 785,145.77
  5. Step 5: Solve for x
    x = 785,145.77/1,455.31
  6. Step 6: Final answer
    x = 539.50

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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.