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Finding the Fourth Proportional to 559.40, 771.73 and 417.65

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Solution

The fourth proportional to 559.40, 771.73 and 417.65 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.40 : 771.73 = 417.65 : x
  2. Step 2: Convert to fraction form
    559.40/771.73 = 417.65/x
  3. Step 3: Cross multiply
    559.40x = 771.73 × 417.65
  4. Step 4: Simplify right side
    559.40x = 322,308.13
  5. Step 5: Solve for x
    x = 322,308.13/559.40
  6. Step 6: Final answer
    x = 576.17

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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.