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Finding the Fourth Proportional to 541.70, 747.43 and 345.14

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Solution

The fourth proportional to 541.70, 747.43 and 345.14 is: 476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 747.43 = 345.14 : x
  2. Step 2: Convert to fraction form
    541.70/747.43 = 345.14/x
  3. Step 3: Cross multiply
    541.70x = 747.43 × 345.14
  4. Step 4: Simplify right side
    541.70x = 257,962.53
  5. Step 5: Solve for x
    x = 257,962.53/541.70
  6. Step 6: Final answer
    x = 476.21

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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.