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Finding the Fourth Proportional to 340.22, 507.38 and 314.71

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Solution

The fourth proportional to 340.22, 507.38 and 314.71 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.22 : 507.38 = 314.71 : x
  2. Step 2: Convert to fraction form
    340.22/507.38 = 314.71/x
  3. Step 3: Cross multiply
    340.22x = 507.38 × 314.71
  4. Step 4: Simplify right side
    340.22x = 159,674.72
  5. Step 5: Solve for x
    x = 159,674.72/340.22
  6. Step 6: Final answer
    x = 469.32

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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.