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Finding the Fourth Proportional to 566.28, 780.19 and 416.63

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Solution

The fourth proportional to 566.28, 780.19 and 416.63 is: 574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.28 : 780.19 = 416.63 : x
  2. Step 2: Convert to fraction form
    566.28/780.19 = 416.63/x
  3. Step 3: Cross multiply
    566.28x = 780.19 × 416.63
  4. Step 4: Simplify right side
    566.28x = 325,051.47
  5. Step 5: Solve for x
    x = 325,051.47/566.28
  6. Step 6: Final answer
    x = 574.01

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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.