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Finding the Fourth Proportional to 594.72, 815.49 and 574.12

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Solution

The fourth proportional to 594.72, 815.49 and 574.12 is: 787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.72 : 815.49 = 574.12 : x
  2. Step 2: Convert to fraction form
    594.72/815.49 = 574.12/x
  3. Step 3: Cross multiply
    594.72x = 815.49 × 574.12
  4. Step 4: Simplify right side
    594.72x = 468,189.12
  5. Step 5: Solve for x
    x = 468,189.12/594.72
  6. Step 6: Final answer
    x = 787.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.