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Finding the Fourth Proportional to 594.04, 889.82 and 567.30

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Solution

The fourth proportional to 594.04, 889.82 and 567.30 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.04 : 889.82 = 567.30 : x
  2. Step 2: Convert to fraction form
    594.04/889.82 = 567.30/x
  3. Step 3: Cross multiply
    594.04x = 889.82 × 567.30
  4. Step 4: Simplify right side
    594.04x = 504,794.89
  5. Step 5: Solve for x
    x = 504,794.89/594.04
  6. Step 6: Final answer
    x = 849.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.