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Finding the Fourth Proportional to 577.16, 864.30 and 360.08

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Solution

The fourth proportional to 577.16, 864.30 and 360.08 is: 539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.16 : 864.30 = 360.08 : x
  2. Step 2: Convert to fraction form
    577.16/864.30 = 360.08/x
  3. Step 3: Cross multiply
    577.16x = 864.30 × 360.08
  4. Step 4: Simplify right side
    577.16x = 311,217.14
  5. Step 5: Solve for x
    x = 311,217.14/577.16
  6. Step 6: Final answer
    x = 539.22

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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.