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Finding the Fourth Proportional to 541.97, 747.65 and 521.01

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Solution

The fourth proportional to 541.97, 747.65 and 521.01 is: 718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.97 : 747.65 = 521.01 : x
  2. Step 2: Convert to fraction form
    541.97/747.65 = 521.01/x
  3. Step 3: Cross multiply
    541.97x = 747.65 × 521.01
  4. Step 4: Simplify right side
    541.97x = 389,533.13
  5. Step 5: Solve for x
    x = 389,533.13/541.97
  6. Step 6: Final answer
    x = 718.74

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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.