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Finding the Fourth Proportional to 594.56, 820.28 and 345.86

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Solution

The fourth proportional to 594.56, 820.28 and 345.86 is: 477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 820.28 = 345.86 : x
  2. Step 2: Convert to fraction form
    594.56/820.28 = 345.86/x
  3. Step 3: Cross multiply
    594.56x = 820.28 × 345.86
  4. Step 4: Simplify right side
    594.56x = 283,702.36
  5. Step 5: Solve for x
    x = 283,702.36/594.56
  6. Step 6: Final answer
    x = 477.17

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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.