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Finding the Fourth Proportional to 340.72, 509.66 and 310.08

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Solution

The fourth proportional to 340.72, 509.66 and 310.08 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 509.66 = 310.08 : x
  2. Step 2: Convert to fraction form
    340.72/509.66 = 310.08/x
  3. Step 3: Cross multiply
    340.72x = 509.66 × 310.08
  4. Step 4: Simplify right side
    340.72x = 158,035.37
  5. Step 5: Solve for x
    x = 158,035.37/340.72
  6. Step 6: Final answer
    x = 463.83

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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.