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Finding the Fourth Proportional to 458.94, 688.64 and 185.02

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Solution

The fourth proportional to 458.94, 688.64 and 185.02 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.94 : 688.64 = 185.02 : x
  2. Step 2: Convert to fraction form
    458.94/688.64 = 185.02/x
  3. Step 3: Cross multiply
    458.94x = 688.64 × 185.02
  4. Step 4: Simplify right side
    458.94x = 127,412.17
  5. Step 5: Solve for x
    x = 127,412.17/458.94
  6. Step 6: Final answer
    x = 277.62

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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.