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Finding the Fourth Proportional to 340.08, 507.06 and 316.96

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Solution

The fourth proportional to 340.08, 507.06 and 316.96 is: 472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 507.06 = 316.96 : x
  2. Step 2: Convert to fraction form
    340.08/507.06 = 316.96/x
  3. Step 3: Cross multiply
    340.08x = 507.06 × 316.96
  4. Step 4: Simplify right side
    340.08x = 160,717.74
  5. Step 5: Solve for x
    x = 160,717.74/340.08
  6. Step 6: Final answer
    x = 472.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.