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Finding the Fourth Proportional to 594.60, 820.64 and 346

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Solution

The fourth proportional to 594.60, 820.64 and 346 is: 477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.60 : 820.64 = 346 : x
  2. Step 2: Convert to fraction form
    594.60/820.64 = 346/x
  3. Step 3: Cross multiply
    594.60x = 820.64 × 346
  4. Step 4: Simplify right side
    594.60x = 283,941.44
  5. Step 5: Solve for x
    x = 283,941.44/594.60
  6. Step 6: Final answer
    x = 477.53

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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.