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Finding the Fourth Proportional to 533.15, 732.77 and 470.60

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Solution

The fourth proportional to 533.15, 732.77 and 470.60 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.15 : 732.77 = 470.60 : x
  2. Step 2: Convert to fraction form
    533.15/732.77 = 470.60/x
  3. Step 3: Cross multiply
    533.15x = 732.77 × 470.60
  4. Step 4: Simplify right side
    533.15x = 344,840.06
  5. Step 5: Solve for x
    x = 344,840.06/533.15
  6. Step 6: Final answer
    x = 646.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.