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Finding the Fourth Proportional to 594.94, 821.04 and 346.32

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Solution

The fourth proportional to 594.94, 821.04 and 346.32 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.94 : 821.04 = 346.32 : x
  2. Step 2: Convert to fraction form
    594.94/821.04 = 346.32/x
  3. Step 3: Cross multiply
    594.94x = 821.04 × 346.32
  4. Step 4: Simplify right side
    594.94x = 284,342.57
  5. Step 5: Solve for x
    x = 284,342.57/594.94
  6. Step 6: Final answer
    x = 477.93

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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.