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Finding the Fourth Proportional to 504.86, 696.80 and 365.63

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Solution

The fourth proportional to 504.86, 696.80 and 365.63 is: 504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 696.80 = 365.63 : x
  2. Step 2: Convert to fraction form
    504.86/696.80 = 365.63/x
  3. Step 3: Cross multiply
    504.86x = 696.80 × 365.63
  4. Step 4: Simplify right side
    504.86x = 254,768.41
  5. Step 5: Solve for x
    x = 254,768.41/504.86
  6. Step 6: Final answer
    x = 504.64

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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.