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Finding the Fourth Proportional to 553.51, 763.75 and 332.41

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Solution

The fourth proportional to 553.51, 763.75 and 332.41 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.51 : 763.75 = 332.41 : x
  2. Step 2: Convert to fraction form
    553.51/763.75 = 332.41/x
  3. Step 3: Cross multiply
    553.51x = 763.75 × 332.41
  4. Step 4: Simplify right side
    553.51x = 253,878.14
  5. Step 5: Solve for x
    x = 253,878.14/553.51
  6. Step 6: Final answer
    x = 458.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.