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Finding the Fourth Proportional to 611.52, 841.46 and 565.03

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Solution

The fourth proportional to 611.52, 841.46 and 565.03 is: 777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.52 : 841.46 = 565.03 : x
  2. Step 2: Convert to fraction form
    611.52/841.46 = 565.03/x
  3. Step 3: Cross multiply
    611.52x = 841.46 × 565.03
  4. Step 4: Simplify right side
    611.52x = 475,450.14
  5. Step 5: Solve for x
    x = 475,450.14/611.52
  6. Step 6: Final answer
    x = 777.49

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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.