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Finding the Fourth Proportional to 556.58, 768.81 and 427.19

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Solution

The fourth proportional to 556.58, 768.81 and 427.19 is: 590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.58 : 768.81 = 427.19 : x
  2. Step 2: Convert to fraction form
    556.58/768.81 = 427.19/x
  3. Step 3: Cross multiply
    556.58x = 768.81 × 427.19
  4. Step 4: Simplify right side
    556.58x = 328,424.10
  5. Step 5: Solve for x
    x = 328,424.10/556.58
  6. Step 6: Final answer
    x = 590.08

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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.