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Finding the Fourth Proportional to 578, 864.84 and 360.56

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Solution

The fourth proportional to 578, 864.84 and 360.56 is: 539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 864.84 = 360.56 : x
  2. Step 2: Convert to fraction form
    578/864.84 = 360.56/x
  3. Step 3: Cross multiply
    578x = 864.84 × 360.56
  4. Step 4: Simplify right side
    578x = 311,826.71
  5. Step 5: Solve for x
    x = 311,826.71/578
  6. Step 6: Final answer
    x = 539.49

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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.