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Finding the Fourth Proportional to 553.74, 830.29 and 322.89

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Solution

The fourth proportional to 553.74, 830.29 and 322.89 is: 484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 830.29 = 322.89 : x
  2. Step 2: Convert to fraction form
    553.74/830.29 = 322.89/x
  3. Step 3: Cross multiply
    553.74x = 830.29 × 322.89
  4. Step 4: Simplify right side
    553.74x = 268,092.34
  5. Step 5: Solve for x
    x = 268,092.34/553.74
  6. Step 6: Final answer
    x = 484.15

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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.