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Finding the Fourth Proportional to 469.62, 648.81 and 420.66

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Solution

The fourth proportional to 469.62, 648.81 and 420.66 is: 581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.62 : 648.81 = 420.66 : x
  2. Step 2: Convert to fraction form
    469.62/648.81 = 420.66/x
  3. Step 3: Cross multiply
    469.62x = 648.81 × 420.66
  4. Step 4: Simplify right side
    469.62x = 272,928.41
  5. Step 5: Solve for x
    x = 272,928.41/469.62
  6. Step 6: Final answer
    x = 581.17

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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.