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Finding the Fourth Proportional to 595.08, 821.54 and 408.68

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Solution

The fourth proportional to 595.08, 821.54 and 408.68 is: 564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.08 : 821.54 = 408.68 : x
  2. Step 2: Convert to fraction form
    595.08/821.54 = 408.68/x
  3. Step 3: Cross multiply
    595.08x = 821.54 × 408.68
  4. Step 4: Simplify right side
    595.08x = 335,746.97
  5. Step 5: Solve for x
    x = 335,746.97/595.08
  6. Step 6: Final answer
    x = 564.20

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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.