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Finding the Fourth Proportional to 346.24, 519.90 and 314.38

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Solution

The fourth proportional to 346.24, 519.90 and 314.38 is: 472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.24 : 519.90 = 314.38 : x
  2. Step 2: Convert to fraction form
    346.24/519.90 = 314.38/x
  3. Step 3: Cross multiply
    346.24x = 519.90 × 314.38
  4. Step 4: Simplify right side
    346.24x = 163,446.16
  5. Step 5: Solve for x
    x = 163,446.16/346.24
  6. Step 6: Final answer
    x = 472.06

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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.