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Finding the Fourth Proportional to 488.09, 728.38 and 436.19

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Solution

The fourth proportional to 488.09, 728.38 and 436.19 is: 650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.09 : 728.38 = 436.19 : x
  2. Step 2: Convert to fraction form
    488.09/728.38 = 436.19/x
  3. Step 3: Cross multiply
    488.09x = 728.38 × 436.19
  4. Step 4: Simplify right side
    488.09x = 317,712.07
  5. Step 5: Solve for x
    x = 317,712.07/488.09
  6. Step 6: Final answer
    x = 650.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.