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Finding the Fourth Proportional to 559.22, 772.54 and 412.67

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Solution

The fourth proportional to 559.22, 772.54 and 412.67 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.22 : 772.54 = 412.67 : x
  2. Step 2: Convert to fraction form
    559.22/772.54 = 412.67/x
  3. Step 3: Cross multiply
    559.22x = 772.54 × 412.67
  4. Step 4: Simplify right side
    559.22x = 318,801.25
  5. Step 5: Solve for x
    x = 318,801.25/559.22
  6. Step 6: Final answer
    x = 570.08

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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.