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Finding the Fourth Proportional to 507.24, 699.93 and 320.81

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Solution

The fourth proportional to 507.24, 699.93 and 320.81 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 699.93 = 320.81 : x
  2. Step 2: Convert to fraction form
    507.24/699.93 = 320.81/x
  3. Step 3: Cross multiply
    507.24x = 699.93 × 320.81
  4. Step 4: Simplify right side
    507.24x = 224,544.54
  5. Step 5: Solve for x
    x = 224,544.54/507.24
  6. Step 6: Final answer
    x = 442.68

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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.