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Finding the Fourth Proportional to 564.40, 777.53 and 539.80

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Solution

The fourth proportional to 564.40, 777.53 and 539.80 is: 743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.40 : 777.53 = 539.80 : x
  2. Step 2: Convert to fraction form
    564.40/777.53 = 539.80/x
  3. Step 3: Cross multiply
    564.40x = 777.53 × 539.80
  4. Step 4: Simplify right side
    564.40x = 419,710.69
  5. Step 5: Solve for x
    x = 419,710.69/564.40
  6. Step 6: Final answer
    x = 743.64

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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.