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Finding the Fourth Proportional to 577.21, 864.16 and 359.32

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Solution

The fourth proportional to 577.21, 864.16 and 359.32 is: 537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.21 : 864.16 = 359.32 : x
  2. Step 2: Convert to fraction form
    577.21/864.16 = 359.32/x
  3. Step 3: Cross multiply
    577.21x = 864.16 × 359.32
  4. Step 4: Simplify right side
    577.21x = 310,509.97
  5. Step 5: Solve for x
    x = 310,509.97/577.21
  6. Step 6: Final answer
    x = 537.95

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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.