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Finding the Fourth Proportional to 594.80, 886.84 and 574.42

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Solution

The fourth proportional to 594.80, 886.84 and 574.42 is: 856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 886.84 = 574.42 : x
  2. Step 2: Convert to fraction form
    594.80/886.84 = 574.42/x
  3. Step 3: Cross multiply
    594.80x = 886.84 × 574.42
  4. Step 4: Simplify right side
    594.80x = 509,414.98
  5. Step 5: Solve for x
    x = 509,414.98/594.80
  6. Step 6: Final answer
    x = 856.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.