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Finding the Fourth Proportional to 391.08, 538.10 and 358.68

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Solution

The fourth proportional to 391.08, 538.10 and 358.68 is: 493.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.08 : 538.10 = 358.68 : x
  2. Step 2: Convert to fraction form
    391.08/538.10 = 358.68/x
  3. Step 3: Cross multiply
    391.08x = 538.10 × 358.68
  4. Step 4: Simplify right side
    391.08x = 193,005.71
  5. Step 5: Solve for x
    x = 193,005.71/391.08
  6. Step 6: Final answer
    x = 493.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.