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Finding the Fourth Proportional to 348.28, 524.31 and 313

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Solution

The fourth proportional to 348.28, 524.31 and 313 is: 471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.28 : 524.31 = 313 : x
  2. Step 2: Convert to fraction form
    348.28/524.31 = 313/x
  3. Step 3: Cross multiply
    348.28x = 524.31 × 313
  4. Step 4: Simplify right side
    348.28x = 164,109.03
  5. Step 5: Solve for x
    x = 164,109.03/348.28
  6. Step 6: Final answer
    x = 471.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.