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Finding the Fourth Proportional to 507.60, 701.24 and 341.75

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Solution

The fourth proportional to 507.60, 701.24 and 341.75 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 701.24 = 341.75 : x
  2. Step 2: Convert to fraction form
    507.60/701.24 = 341.75/x
  3. Step 3: Cross multiply
    507.60x = 701.24 × 341.75
  4. Step 4: Simplify right side
    507.60x = 239,643.56
  5. Step 5: Solve for x
    x = 239,643.56/507.60
  6. Step 6: Final answer
    x = 472.11

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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.