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Finding the Fourth Proportional to 553.29, 828.09 and 462.15

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Solution

The fourth proportional to 553.29, 828.09 and 462.15 is: 691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.29 : 828.09 = 462.15 : x
  2. Step 2: Convert to fraction form
    553.29/828.09 = 462.15/x
  3. Step 3: Cross multiply
    553.29x = 828.09 × 462.15
  4. Step 4: Simplify right side
    553.29x = 382,701.79
  5. Step 5: Solve for x
    x = 382,701.79/553.29
  6. Step 6: Final answer
    x = 691.68

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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.