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Finding the Fourth Proportional to 346.16, 518.70 and 319.16

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Solution

The fourth proportional to 346.16, 518.70 and 319.16 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.16 : 518.70 = 319.16 : x
  2. Step 2: Convert to fraction form
    346.16/518.70 = 319.16/x
  3. Step 3: Cross multiply
    346.16x = 518.70 × 319.16
  4. Step 4: Simplify right side
    346.16x = 165,548.29
  5. Step 5: Solve for x
    x = 165,548.29/346.16
  6. Step 6: Final answer
    x = 478.24

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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.