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Finding the Fourth Proportional to 575.87, 864.02 and 359.63

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Solution

The fourth proportional to 575.87, 864.02 and 359.63 is: 539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.87 : 864.02 = 359.63 : x
  2. Step 2: Convert to fraction form
    575.87/864.02 = 359.63/x
  3. Step 3: Cross multiply
    575.87x = 864.02 × 359.63
  4. Step 4: Simplify right side
    575.87x = 310,725.71
  5. Step 5: Solve for x
    x = 310,725.71/575.87
  6. Step 6: Final answer
    x = 539.58

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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.