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Finding the Fourth Proportional to 507.80, 760.80 and 416.36

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Solution

The fourth proportional to 507.80, 760.80 and 416.36 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 760.80 = 416.36 : x
  2. Step 2: Convert to fraction form
    507.80/760.80 = 416.36/x
  3. Step 3: Cross multiply
    507.80x = 760.80 × 416.36
  4. Step 4: Simplify right side
    507.80x = 316,766.69
  5. Step 5: Solve for x
    x = 316,766.69/507.80
  6. Step 6: Final answer
    x = 623.80

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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.