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Finding the Fourth Proportional to 346.10, 518.54 and 309.65

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Solution

The fourth proportional to 346.10, 518.54 and 309.65 is: 463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.10 : 518.54 = 309.65 : x
  2. Step 2: Convert to fraction form
    346.10/518.54 = 309.65/x
  3. Step 3: Cross multiply
    346.10x = 518.54 × 309.65
  4. Step 4: Simplify right side
    346.10x = 160,561.77
  5. Step 5: Solve for x
    x = 160,561.77/346.10
  6. Step 6: Final answer
    x = 463.92

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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.