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Finding the Fourth Proportional to 507.67, 760.69 and 416.41

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Solution

The fourth proportional to 507.67, 760.69 and 416.41 is: 623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 760.69 = 416.41 : x
  2. Step 2: Convert to fraction form
    507.67/760.69 = 416.41/x
  3. Step 3: Cross multiply
    507.67x = 760.69 × 416.41
  4. Step 4: Simplify right side
    507.67x = 316,758.92
  5. Step 5: Solve for x
    x = 316,758.92/507.67
  6. Step 6: Final answer
    x = 623.95

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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.