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Finding the Fourth Proportional to 564.02, 776.93 and 470.73

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Solution

The fourth proportional to 564.02, 776.93 and 470.73 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 776.93 = 470.73 : x
  2. Step 2: Convert to fraction form
    564.02/776.93 = 470.73/x
  3. Step 3: Cross multiply
    564.02x = 776.93 × 470.73
  4. Step 4: Simplify right side
    564.02x = 365,724.26
  5. Step 5: Solve for x
    x = 365,724.26/564.02
  6. Step 6: Final answer
    x = 648.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.