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Finding the Fourth Proportional to 430.94, 595.28 and 338.86

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Solution

The fourth proportional to 430.94, 595.28 and 338.86 is: 468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 595.28 = 338.86 : x
  2. Step 2: Convert to fraction form
    430.94/595.28 = 338.86/x
  3. Step 3: Cross multiply
    430.94x = 595.28 × 338.86
  4. Step 4: Simplify right side
    430.94x = 201,716.58
  5. Step 5: Solve for x
    x = 201,716.58/430.94
  6. Step 6: Final answer
    x = 468.09

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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.