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Finding the Fourth Proportional to 507.58, 701.26 and 378.24

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Solution

The fourth proportional to 507.58, 701.26 and 378.24 is: 522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.58 : 701.26 = 378.24 : x
  2. Step 2: Convert to fraction form
    507.58/701.26 = 378.24/x
  3. Step 3: Cross multiply
    507.58x = 701.26 × 378.24
  4. Step 4: Simplify right side
    507.58x = 265,244.58
  5. Step 5: Solve for x
    x = 265,244.58/507.58
  6. Step 6: Final answer
    x = 522.57

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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.