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Finding the Fourth Proportional to 842.84, 1,264.30 and 355.40

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Solution

The fourth proportional to 842.84, 1,264.30 and 355.40 is: 533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,264.30 = 355.40 : x
  2. Step 2: Convert to fraction form
    842.84/1,264.30 = 355.40/x
  3. Step 3: Cross multiply
    842.84x = 1,264.30 × 355.40
  4. Step 4: Simplify right side
    842.84x = 449,332.22
  5. Step 5: Solve for x
    x = 449,332.22/842.84
  6. Step 6: Final answer
    x = 533.12

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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.