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Finding the Fourth Proportional to 507.44, 700.40 and 342.14

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Solution

The fourth proportional to 507.44, 700.40 and 342.14 is: 472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.44 : 700.40 = 342.14 : x
  2. Step 2: Convert to fraction form
    507.44/700.40 = 342.14/x
  3. Step 3: Cross multiply
    507.44x = 700.40 × 342.14
  4. Step 4: Simplify right side
    507.44x = 239,634.86
  5. Step 5: Solve for x
    x = 239,634.86/507.44
  6. Step 6: Final answer
    x = 472.24

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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.