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Finding the Fourth Proportional to 498.77, 748.26 and 152.09

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Solution

The fourth proportional to 498.77, 748.26 and 152.09 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.77 : 748.26 = 152.09 : x
  2. Step 2: Convert to fraction form
    498.77/748.26 = 152.09/x
  3. Step 3: Cross multiply
    498.77x = 748.26 × 152.09
  4. Step 4: Simplify right side
    498.77x = 113,802.86
  5. Step 5: Solve for x
    x = 113,802.86/498.77
  6. Step 6: Final answer
    x = 228.17

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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.