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Finding the Fourth Proportional to 595.48, 821.70 and 343.41

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Solution

The fourth proportional to 595.48, 821.70 and 343.41 is: 473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.48 : 821.70 = 343.41 : x
  2. Step 2: Convert to fraction form
    595.48/821.70 = 343.41/x
  3. Step 3: Cross multiply
    595.48x = 821.70 × 343.41
  4. Step 4: Simplify right side
    595.48x = 282,175.20
  5. Step 5: Solve for x
    x = 282,175.20/595.48
  6. Step 6: Final answer
    x = 473.86

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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.