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Finding the Fourth Proportional to 533.04, 796.80 and 460.74

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Solution

The fourth proportional to 533.04, 796.80 and 460.74 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.04 : 796.80 = 460.74 : x
  2. Step 2: Convert to fraction form
    533.04/796.80 = 460.74/x
  3. Step 3: Cross multiply
    533.04x = 796.80 × 460.74
  4. Step 4: Simplify right side
    533.04x = 367,117.63
  5. Step 5: Solve for x
    x = 367,117.63/533.04
  6. Step 6: Final answer
    x = 688.72

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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.