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Finding the Fourth Proportional to 565.28, 780.20 and 521.36

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Solution

The fourth proportional to 565.28, 780.20 and 521.36 is: 719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 780.20 = 521.36 : x
  2. Step 2: Convert to fraction form
    565.28/780.20 = 521.36/x
  3. Step 3: Cross multiply
    565.28x = 780.20 × 521.36
  4. Step 4: Simplify right side
    565.28x = 406,765.07
  5. Step 5: Solve for x
    x = 406,765.07/565.28
  6. Step 6: Final answer
    x = 719.58

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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.