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Finding the Fourth Proportional to 469.06, 647.16 and 303.20

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Solution

The fourth proportional to 469.06, 647.16 and 303.20 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.06 : 647.16 = 303.20 : x
  2. Step 2: Convert to fraction form
    469.06/647.16 = 303.20/x
  3. Step 3: Cross multiply
    469.06x = 647.16 × 303.20
  4. Step 4: Simplify right side
    469.06x = 196,218.91
  5. Step 5: Solve for x
    x = 196,218.91/469.06
  6. Step 6: Final answer
    x = 418.32

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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.