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Finding the Fourth Proportional to 533.17, 795.19 and 456.63

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Solution

The fourth proportional to 533.17, 795.19 and 456.63 is: 681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.17 : 795.19 = 456.63 : x
  2. Step 2: Convert to fraction form
    533.17/795.19 = 456.63/x
  3. Step 3: Cross multiply
    533.17x = 795.19 × 456.63
  4. Step 4: Simplify right side
    533.17x = 363,107.61
  5. Step 5: Solve for x
    x = 363,107.61/533.17
  6. Step 6: Final answer
    x = 681.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.