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Finding the Fourth Proportional to 664.16, 914.43 and 564.35

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Solution

The fourth proportional to 664.16, 914.43 and 564.35 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 914.43 = 564.35 : x
  2. Step 2: Convert to fraction form
    664.16/914.43 = 564.35/x
  3. Step 3: Cross multiply
    664.16x = 914.43 × 564.35
  4. Step 4: Simplify right side
    664.16x = 516,054.00
  5. Step 5: Solve for x
    x = 516,054.00/664.16
  6. Step 6: Final answer
    x = 777.01

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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.