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Finding the Fourth Proportional to 595.78, 897.44 and 550.67

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Solution

The fourth proportional to 595.78, 897.44 and 550.67 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 897.44 = 550.67 : x
  2. Step 2: Convert to fraction form
    595.78/897.44 = 550.67/x
  3. Step 3: Cross multiply
    595.78x = 897.44 × 550.67
  4. Step 4: Simplify right side
    595.78x = 494,186.04
  5. Step 5: Solve for x
    x = 494,186.04/595.78
  6. Step 6: Final answer
    x = 829.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.