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Finding the Fourth Proportional to 507.69, 699.96 and 341.77

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Solution

The fourth proportional to 507.69, 699.96 and 341.77 is: 471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.69 : 699.96 = 341.77 : x
  2. Step 2: Convert to fraction form
    507.69/699.96 = 341.77/x
  3. Step 3: Cross multiply
    507.69x = 699.96 × 341.77
  4. Step 4: Simplify right side
    507.69x = 239,225.33
  5. Step 5: Solve for x
    x = 239,225.33/507.69
  6. Step 6: Final answer
    x = 471.20

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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.