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Finding the Fourth Proportional to 595.29, 821.31 and 346.66

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Solution

The fourth proportional to 595.29, 821.31 and 346.66 is: 478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.29 : 821.31 = 346.66 : x
  2. Step 2: Convert to fraction form
    595.29/821.31 = 346.66/x
  3. Step 3: Cross multiply
    595.29x = 821.31 × 346.66
  4. Step 4: Simplify right side
    595.29x = 284,711.97
  5. Step 5: Solve for x
    x = 284,711.97/595.29
  6. Step 6: Final answer
    x = 478.27

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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.