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Finding the Fourth Proportional to 507.75, 760.55 and 371.04

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Solution

The fourth proportional to 507.75, 760.55 and 371.04 is: 555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 760.55 = 371.04 : x
  2. Step 2: Convert to fraction form
    507.75/760.55 = 371.04/x
  3. Step 3: Cross multiply
    507.75x = 760.55 × 371.04
  4. Step 4: Simplify right side
    507.75x = 282,192.62
  5. Step 5: Solve for x
    x = 282,192.62/507.75
  6. Step 6: Final answer
    x = 555.77

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