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Finding the Fourth Proportional to 340.95, 471.02 and 315.03

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Solution

The fourth proportional to 340.95, 471.02 and 315.03 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.95 : 471.02 = 315.03 : x
  2. Step 2: Convert to fraction form
    340.95/471.02 = 315.03/x
  3. Step 3: Cross multiply
    340.95x = 471.02 × 315.03
  4. Step 4: Simplify right side
    340.95x = 148,383.86
  5. Step 5: Solve for x
    x = 148,383.86/340.95
  6. Step 6: Final answer
    x = 435.21

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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.