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Finding the Fourth Proportional to 595.34, 821.60 and 343.30

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Solution

The fourth proportional to 595.34, 821.60 and 343.30 is: 473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 821.60 = 343.30 : x
  2. Step 2: Convert to fraction form
    595.34/821.60 = 343.30/x
  3. Step 3: Cross multiply
    595.34x = 821.60 × 343.30
  4. Step 4: Simplify right side
    595.34x = 282,055.28
  5. Step 5: Solve for x
    x = 282,055.28/595.34
  6. Step 6: Final answer
    x = 473.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.