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Finding the Fourth Proportional to 619.68, 929.96 and 457.84

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Solution

The fourth proportional to 619.68, 929.96 and 457.84 is: 687.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.68 : 929.96 = 457.84 : x
  2. Step 2: Convert to fraction form
    619.68/929.96 = 457.84/x
  3. Step 3: Cross multiply
    619.68x = 929.96 × 457.84
  4. Step 4: Simplify right side
    619.68x = 425,772.89
  5. Step 5: Solve for x
    x = 425,772.89/619.68
  6. Step 6: Final answer
    x = 687.09

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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.