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Finding the Fourth Proportional to 594.12, 818.92 and 469.56

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Solution

The fourth proportional to 594.12, 818.92 and 469.56 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.12 : 818.92 = 469.56 : x
  2. Step 2: Convert to fraction form
    594.12/818.92 = 469.56/x
  3. Step 3: Cross multiply
    594.12x = 818.92 × 469.56
  4. Step 4: Simplify right side
    594.12x = 384,532.08
  5. Step 5: Solve for x
    x = 384,532.08/594.12
  6. Step 6: Final answer
    x = 647.23

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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.