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Finding the Fourth Proportional to 551.56, 761.88 and 427.36

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Solution

The fourth proportional to 551.56, 761.88 and 427.36 is: 590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 761.88 = 427.36 : x
  2. Step 2: Convert to fraction form
    551.56/761.88 = 427.36/x
  3. Step 3: Cross multiply
    551.56x = 761.88 × 427.36
  4. Step 4: Simplify right side
    551.56x = 325,597.04
  5. Step 5: Solve for x
    x = 325,597.04/551.56
  6. Step 6: Final answer
    x = 590.32

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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.