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Finding the Fourth Proportional to 506.42, 699.32 and 320.24

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Solution

The fourth proportional to 506.42, 699.32 and 320.24 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.42 : 699.32 = 320.24 : x
  2. Step 2: Convert to fraction form
    506.42/699.32 = 320.24/x
  3. Step 3: Cross multiply
    506.42x = 699.32 × 320.24
  4. Step 4: Simplify right side
    506.42x = 223,950.24
  5. Step 5: Solve for x
    x = 223,950.24/506.42
  6. Step 6: Final answer
    x = 442.22

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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.