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Finding the Fourth Proportional to 818.84, 1,228.28 and 356.30

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Solution

The fourth proportional to 818.84, 1,228.28 and 356.30 is: 534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.84 : 1,228.28 = 356.30 : x
  2. Step 2: Convert to fraction form
    818.84/1,228.28 = 356.30/x
  3. Step 3: Cross multiply
    818.84x = 1,228.28 × 356.30
  4. Step 4: Simplify right side
    818.84x = 437,636.16
  5. Step 5: Solve for x
    x = 437,636.16/818.84
  6. Step 6: Final answer
    x = 534.46

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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.