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Finding the Fourth Proportional to 564.04, 778.47 and 470.64

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Solution

The fourth proportional to 564.04, 778.47 and 470.64 is: 649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.04 : 778.47 = 470.64 : x
  2. Step 2: Convert to fraction form
    564.04/778.47 = 470.64/x
  3. Step 3: Cross multiply
    564.04x = 778.47 × 470.64
  4. Step 4: Simplify right side
    564.04x = 366,379.12
  5. Step 5: Solve for x
    x = 366,379.12/564.04
  6. Step 6: Final answer
    x = 649.56

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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.