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Finding the Fourth Proportional to 566.07, 777.02 and 522.33

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Solution

The fourth proportional to 566.07, 777.02 and 522.33 is: 716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 777.02 = 522.33 : x
  2. Step 2: Convert to fraction form
    566.07/777.02 = 522.33/x
  3. Step 3: Cross multiply
    566.07x = 777.02 × 522.33
  4. Step 4: Simplify right side
    566.07x = 405,862.16
  5. Step 5: Solve for x
    x = 405,862.16/566.07
  6. Step 6: Final answer
    x = 716.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.