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Finding the Fourth Proportional to 553.74, 830.70 and 265.19

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Solution

The fourth proportional to 553.74, 830.70 and 265.19 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 830.70 = 265.19 : x
  2. Step 2: Convert to fraction form
    553.74/830.70 = 265.19/x
  3. Step 3: Cross multiply
    553.74x = 830.70 × 265.19
  4. Step 4: Simplify right side
    553.74x = 220,289.18
  5. Step 5: Solve for x
    x = 220,289.18/553.74
  6. Step 6: Final answer
    x = 397.82

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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.