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Finding the Fourth Proportional to 469.63, 648.21 and 376.35

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Solution

The fourth proportional to 469.63, 648.21 and 376.35 is: 519.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.63 : 648.21 = 376.35 : x
  2. Step 2: Convert to fraction form
    469.63/648.21 = 376.35/x
  3. Step 3: Cross multiply
    469.63x = 648.21 × 376.35
  4. Step 4: Simplify right side
    469.63x = 243,953.83
  5. Step 5: Solve for x
    x = 243,953.83/469.63
  6. Step 6: Final answer
    x = 519.46

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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.