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Finding the Fourth Proportional to 469.14, 647.89 and 364.34

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Solution

The fourth proportional to 469.14, 647.89 and 364.34 is: 503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 647.89 = 364.34 : x
  2. Step 2: Convert to fraction form
    469.14/647.89 = 364.34/x
  3. Step 3: Cross multiply
    469.14x = 647.89 × 364.34
  4. Step 4: Simplify right side
    469.14x = 236,052.24
  5. Step 5: Solve for x
    x = 236,052.24/469.14
  6. Step 6: Final answer
    x = 503.16

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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.