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Finding the Fourth Proportional to 471.02, 705.11 and 348.71

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Solution

The fourth proportional to 471.02, 705.11 and 348.71 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.02 : 705.11 = 348.71 : x
  2. Step 2: Convert to fraction form
    471.02/705.11 = 348.71/x
  3. Step 3: Cross multiply
    471.02x = 705.11 × 348.71
  4. Step 4: Simplify right side
    471.02x = 245,873.64
  5. Step 5: Solve for x
    x = 245,873.64/471.02
  6. Step 6: Final answer
    x = 522.01

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Why These Related Problems?

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