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Finding the Fourth Proportional to 595.30, 821.57 and 343.27

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Solution

The fourth proportional to 595.30, 821.57 and 343.27 is: 473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 821.57 = 343.27 : x
  2. Step 2: Convert to fraction form
    595.30/821.57 = 343.27/x
  3. Step 3: Cross multiply
    595.30x = 821.57 × 343.27
  4. Step 4: Simplify right side
    595.30x = 282,014.51
  5. Step 5: Solve for x
    x = 282,014.51/595.30
  6. Step 6: Final answer
    x = 473.74

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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.