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Finding the Fourth Proportional to 340.58, 472.02 and 324.74

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Solution

The fourth proportional to 340.58, 472.02 and 324.74 is: 450.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 472.02 = 324.74 : x
  2. Step 2: Convert to fraction form
    340.58/472.02 = 324.74/x
  3. Step 3: Cross multiply
    340.58x = 472.02 × 324.74
  4. Step 4: Simplify right side
    340.58x = 153,283.77
  5. Step 5: Solve for x
    x = 153,283.77/340.58
  6. Step 6: Final answer
    x = 450.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.