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Finding the Fourth Proportional to 365.68, 504.60 and 208.32

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Solution

The fourth proportional to 365.68, 504.60 and 208.32 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.68 : 504.60 = 208.32 : x
  2. Step 2: Convert to fraction form
    365.68/504.60 = 208.32/x
  3. Step 3: Cross multiply
    365.68x = 504.60 × 208.32
  4. Step 4: Simplify right side
    365.68x = 105,117.01
  5. Step 5: Solve for x
    x = 105,117.01/365.68
  6. Step 6: Final answer
    x = 287.45

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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.