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Finding the Fourth Proportional to 566.06, 845.64 and 473.78

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Solution

The fourth proportional to 566.06, 845.64 and 473.78 is: 707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 845.64 = 473.78 : x
  2. Step 2: Convert to fraction form
    566.06/845.64 = 473.78/x
  3. Step 3: Cross multiply
    566.06x = 845.64 × 473.78
  4. Step 4: Simplify right side
    566.06x = 400,649.43
  5. Step 5: Solve for x
    x = 400,649.43/566.06
  6. Step 6: Final answer
    x = 707.79

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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.