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Finding the Fourth Proportional to 458.77, 688.00 and 150.55

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Solution

The fourth proportional to 458.77, 688.00 and 150.55 is: 225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.77 : 688.00 = 150.55 : x
  2. Step 2: Convert to fraction form
    458.77/688.00 = 150.55/x
  3. Step 3: Cross multiply
    458.77x = 688.00 × 150.55
  4. Step 4: Simplify right side
    458.77x = 103,576.00
  5. Step 5: Solve for x
    x = 103,576.00/458.77
  6. Step 6: Final answer
    x = 225.77

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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.