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Finding the Fourth Proportional to 507.48, 761.50 and 251

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Solution

The fourth proportional to 507.48, 761.50 and 251 is: 376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 761.50 = 251 : x
  2. Step 2: Convert to fraction form
    507.48/761.50 = 251/x
  3. Step 3: Cross multiply
    507.48x = 761.50 × 251
  4. Step 4: Simplify right side
    507.48x = 191,136.50
  5. Step 5: Solve for x
    x = 191,136.50/507.48
  6. Step 6: Final answer
    x = 376.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.