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Finding the Fourth Proportional to 541.42, 744.80 and 474.73

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Solution

The fourth proportional to 541.42, 744.80 and 474.73 is: 653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 744.80 = 474.73 : x
  2. Step 2: Convert to fraction form
    541.42/744.80 = 474.73/x
  3. Step 3: Cross multiply
    541.42x = 744.80 × 474.73
  4. Step 4: Simplify right side
    541.42x = 353,574.67
  5. Step 5: Solve for x
    x = 353,574.67/541.42
  6. Step 6: Final answer
    x = 653.05

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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.