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Finding the Fourth Proportional to 507, 699.66 and 274.13

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Solution

The fourth proportional to 507, 699.66 and 274.13 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 699.66 = 274.13 : x
  2. Step 2: Convert to fraction form
    507/699.66 = 274.13/x
  3. Step 3: Cross multiply
    507x = 699.66 × 274.13
  4. Step 4: Simplify right side
    507x = 191,794.30
  5. Step 5: Solve for x
    x = 191,794.30/507
  6. Step 6: Final answer
    x = 378.29

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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.