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Finding the Fourth Proportional to 594.47, 820.65 and 345.75

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Solution

The fourth proportional to 594.47, 820.65 and 345.75 is: 477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.47 : 820.65 = 345.75 : x
  2. Step 2: Convert to fraction form
    594.47/820.65 = 345.75/x
  3. Step 3: Cross multiply
    594.47x = 820.65 × 345.75
  4. Step 4: Simplify right side
    594.47x = 283,739.74
  5. Step 5: Solve for x
    x = 283,739.74/594.47
  6. Step 6: Final answer
    x = 477.30

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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.