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Finding the Fourth Proportional to 594.26, 820 and 345.66

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Solution

The fourth proportional to 594.26, 820 and 345.66 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.26 : 820 = 345.66 : x
  2. Step 2: Convert to fraction form
    594.26/820 = 345.66/x
  3. Step 3: Cross multiply
    594.26x = 820 × 345.66
  4. Step 4: Simplify right side
    594.26x = 283,441.20
  5. Step 5: Solve for x
    x = 283,441.20/594.26
  6. Step 6: Final answer
    x = 476.96

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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.