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Finding the Fourth Proportional to 505.33, 696.84 and 365.17

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Solution

The fourth proportional to 505.33, 696.84 and 365.17 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.33 : 696.84 = 365.17 : x
  2. Step 2: Convert to fraction form
    505.33/696.84 = 365.17/x
  3. Step 3: Cross multiply
    505.33x = 696.84 × 365.17
  4. Step 4: Simplify right side
    505.33x = 254,465.06
  5. Step 5: Solve for x
    x = 254,465.06/505.33
  6. Step 6: Final answer
    x = 503.56

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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.