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Finding the Fourth Proportional to 594.63, 820.40 and 345.83

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Solution

The fourth proportional to 594.63, 820.40 and 345.83 is: 477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.63 : 820.40 = 345.83 : x
  2. Step 2: Convert to fraction form
    594.63/820.40 = 345.83/x
  3. Step 3: Cross multiply
    594.63x = 820.40 × 345.83
  4. Step 4: Simplify right side
    594.63x = 283,713.10
  5. Step 5: Solve for x
    x = 283,713.10/594.63
  6. Step 6: Final answer
    x = 477.13

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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.