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Finding the Fourth Proportional to 553.23, 763.16 and 356.67

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Solution

The fourth proportional to 553.23, 763.16 and 356.67 is: 492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.23 : 763.16 = 356.67 : x
  2. Step 2: Convert to fraction form
    553.23/763.16 = 356.67/x
  3. Step 3: Cross multiply
    553.23x = 763.16 × 356.67
  4. Step 4: Simplify right side
    553.23x = 272,194.49
  5. Step 5: Solve for x
    x = 272,194.49/553.23
  6. Step 6: Final answer
    x = 492.01

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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.