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Finding the Fourth Proportional to 595.12, 821.63 and 396.24

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Solution

The fourth proportional to 595.12, 821.63 and 396.24 is: 547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.12 : 821.63 = 396.24 : x
  2. Step 2: Convert to fraction form
    595.12/821.63 = 396.24/x
  3. Step 3: Cross multiply
    595.12x = 821.63 × 396.24
  4. Step 4: Simplify right side
    595.12x = 325,562.67
  5. Step 5: Solve for x
    x = 325,562.67/595.12
  6. Step 6: Final answer
    x = 547.05

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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.