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Finding the Fourth Proportional to 368.92, 512.43 and 358.68

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Solution

The fourth proportional to 368.92, 512.43 and 358.68 is: 498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.92 : 512.43 = 358.68 : x
  2. Step 2: Convert to fraction form
    368.92/512.43 = 358.68/x
  3. Step 3: Cross multiply
    368.92x = 512.43 × 358.68
  4. Step 4: Simplify right side
    368.92x = 183,798.39
  5. Step 5: Solve for x
    x = 183,798.39/368.92
  6. Step 6: Final answer
    x = 498.21

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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.