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Finding the Fourth Proportional to 594.99, 821.10 and 346.32

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Solution

The fourth proportional to 594.99, 821.10 and 346.32 is: 477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.99 : 821.10 = 346.32 : x
  2. Step 2: Convert to fraction form
    594.99/821.10 = 346.32/x
  3. Step 3: Cross multiply
    594.99x = 821.10 × 346.32
  4. Step 4: Simplify right side
    594.99x = 284,363.35
  5. Step 5: Solve for x
    x = 284,363.35/594.99
  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.