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Finding the Fourth Proportional to 469.04, 647.78 and 365.37

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Solution

The fourth proportional to 469.04, 647.78 and 365.37 is: 504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.04 : 647.78 = 365.37 : x
  2. Step 2: Convert to fraction form
    469.04/647.78 = 365.37/x
  3. Step 3: Cross multiply
    469.04x = 647.78 × 365.37
  4. Step 4: Simplify right side
    469.04x = 236,677.55
  5. Step 5: Solve for x
    x = 236,677.55/469.04
  6. Step 6: Final answer
    x = 504.61

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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.