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Finding the Fourth Proportional to 507.39, 699.93 and 341.70

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Solution

The fourth proportional to 507.39, 699.93 and 341.70 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.39 : 699.93 = 341.70 : x
  2. Step 2: Convert to fraction form
    507.39/699.93 = 341.70/x
  3. Step 3: Cross multiply
    507.39x = 699.93 × 341.70
  4. Step 4: Simplify right side
    507.39x = 239,166.08
  5. Step 5: Solve for x
    x = 239,166.08/507.39
  6. Step 6: Final answer
    x = 471.37

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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.