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Finding the Fourth Proportional to 458.99, 688.53 and 150.84

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Solution

The fourth proportional to 458.99, 688.53 and 150.84 is: 226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.99 : 688.53 = 150.84 : x
  2. Step 2: Convert to fraction form
    458.99/688.53 = 150.84/x
  3. Step 3: Cross multiply
    458.99x = 688.53 × 150.84
  4. Step 4: Simplify right side
    458.99x = 103,855.22
  5. Step 5: Solve for x
    x = 103,855.22/458.99
  6. Step 6: Final answer
    x = 226.27

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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.