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Finding the Fourth Proportional to 436.68, 601.65 and 420.48

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Solution

The fourth proportional to 436.68, 601.65 and 420.48 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 601.65 = 420.48 : x
  2. Step 2: Convert to fraction form
    436.68/601.65 = 420.48/x
  3. Step 3: Cross multiply
    436.68x = 601.65 × 420.48
  4. Step 4: Simplify right side
    436.68x = 252,981.79
  5. Step 5: Solve for x
    x = 252,981.79/436.68
  6. Step 6: Final answer
    x = 579.33

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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.