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Finding the Fourth Proportional to 507.84, 760.74 and 233.55

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Solution

The fourth proportional to 507.84, 760.74 and 233.55 is: 349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 760.74 = 233.55 : x
  2. Step 2: Convert to fraction form
    507.84/760.74 = 233.55/x
  3. Step 3: Cross multiply
    507.84x = 760.74 × 233.55
  4. Step 4: Simplify right side
    507.84x = 177,670.83
  5. Step 5: Solve for x
    x = 177,670.83/507.84
  6. Step 6: Final answer
    x = 349.86

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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.