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Finding the Fourth Proportional to 347.87, 522.15 and 317.12

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Solution

The fourth proportional to 347.87, 522.15 and 317.12 is: 475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.87 : 522.15 = 317.12 : x
  2. Step 2: Convert to fraction form
    347.87/522.15 = 317.12/x
  3. Step 3: Cross multiply
    347.87x = 522.15 × 317.12
  4. Step 4: Simplify right side
    347.87x = 165,580.41
  5. Step 5: Solve for x
    x = 165,580.41/347.87
  6. Step 6: Final answer
    x = 475.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.