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Finding the Fourth Proportional to 566.07, 780.41 and 433.36

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Solution

The fourth proportional to 566.07, 780.41 and 433.36 is: 597.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.07 : 780.41 = 433.36 : x
  2. Step 2: Convert to fraction form
    566.07/780.41 = 433.36/x
  3. Step 3: Cross multiply
    566.07x = 780.41 × 433.36
  4. Step 4: Simplify right side
    566.07x = 338,198.48
  5. Step 5: Solve for x
    x = 338,198.48/566.07
  6. Step 6: Final answer
    x = 597.45

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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.