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Finding the Fourth Proportional to 469.62, 647.96 and 303.89

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Solution

The fourth proportional to 469.62, 647.96 and 303.89 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 647.96 = 303.89 : x
  2. Step 2: Convert to fraction form
    469.62/647.96 = 303.89/x
  3. Step 3: Cross multiply
    469.62x = 647.96 × 303.89
  4. Step 4: Simplify right side
    469.62x = 196,903.81
  5. Step 5: Solve for x
    x = 196,903.81/469.62
  6. Step 6: Final answer
    x = 419.28

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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.