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Finding the Fourth Proportional to 566.33, 780.98 and 419.31

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Solution

The fourth proportional to 566.33, 780.98 and 419.31 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.33 : 780.98 = 419.31 : x
  2. Step 2: Convert to fraction form
    566.33/780.98 = 419.31/x
  3. Step 3: Cross multiply
    566.33x = 780.98 × 419.31
  4. Step 4: Simplify right side
    566.33x = 327,470.63
  5. Step 5: Solve for x
    x = 327,470.63/566.33
  6. Step 6: Final answer
    x = 578.24

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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.