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Finding the Fourth Proportional to 556.23, 767.65 and 416.10

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Solution

The fourth proportional to 556.23, 767.65 and 416.10 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.23 : 767.65 = 416.10 : x
  2. Step 2: Convert to fraction form
    556.23/767.65 = 416.10/x
  3. Step 3: Cross multiply
    556.23x = 767.65 × 416.10
  4. Step 4: Simplify right side
    556.23x = 319,418.12
  5. Step 5: Solve for x
    x = 319,418.12/556.23
  6. Step 6: Final answer
    x = 574.26

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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.