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Finding the Fourth Proportional to 469.98, 648.13 and 304.13

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Solution

The fourth proportional to 469.98, 648.13 and 304.13 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.98 : 648.13 = 304.13 : x
  2. Step 2: Convert to fraction form
    469.98/648.13 = 304.13/x
  3. Step 3: Cross multiply
    469.98x = 648.13 × 304.13
  4. Step 4: Simplify right side
    469.98x = 197,114.53
  5. Step 5: Solve for x
    x = 197,114.53/469.98
  6. Step 6: Final answer
    x = 419.41

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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.