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Finding the Fourth Proportional to 564.64, 779.54 and 440

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Solution

The fourth proportional to 564.64, 779.54 and 440 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 779.54 = 440 : x
  2. Step 2: Convert to fraction form
    564.64/779.54 = 440/x
  3. Step 3: Cross multiply
    564.64x = 779.54 × 440
  4. Step 4: Simplify right side
    564.64x = 342,997.60
  5. Step 5: Solve for x
    x = 342,997.60/564.64
  6. Step 6: Final answer
    x = 607.46

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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.