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Finding the Fourth Proportional to 556.65, 768.24 and 416.52

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Solution

The fourth proportional to 556.65, 768.24 and 416.52 is: 574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 768.24 = 416.52 : x
  2. Step 2: Convert to fraction form
    556.65/768.24 = 416.52/x
  3. Step 3: Cross multiply
    556.65x = 768.24 × 416.52
  4. Step 4: Simplify right side
    556.65x = 319,987.32
  5. Step 5: Solve for x
    x = 319,987.32/556.65
  6. Step 6: Final answer
    x = 574.84

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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.