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Finding the Fourth Proportional to 595.81, 822.18 and 347.20

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Solution

The fourth proportional to 595.81, 822.18 and 347.20 is: 479.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.81 : 822.18 = 347.20 : x
  2. Step 2: Convert to fraction form
    595.81/822.18 = 347.20/x
  3. Step 3: Cross multiply
    595.81x = 822.18 × 347.20
  4. Step 4: Simplify right side
    595.81x = 285,460.90
  5. Step 5: Solve for x
    x = 285,460.90/595.81
  6. Step 6: Final answer
    x = 479.11

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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.