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Finding the Fourth Proportional to 509.94, 703.24 and 360.66

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Solution

The fourth proportional to 509.94, 703.24 and 360.66 is: 497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.94 : 703.24 = 360.66 : x
  2. Step 2: Convert to fraction form
    509.94/703.24 = 360.66/x
  3. Step 3: Cross multiply
    509.94x = 703.24 × 360.66
  4. Step 4: Simplify right side
    509.94x = 253,630.54
  5. Step 5: Solve for x
    x = 253,630.54/509.94
  6. Step 6: Final answer
    x = 497.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.