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Finding the Fourth Proportional to 541.71, 746.46 and 501.84

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Solution

The fourth proportional to 541.71, 746.46 and 501.84 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.71 : 746.46 = 501.84 : x
  2. Step 2: Convert to fraction form
    541.71/746.46 = 501.84/x
  3. Step 3: Cross multiply
    541.71x = 746.46 × 501.84
  4. Step 4: Simplify right side
    541.71x = 374,603.49
  5. Step 5: Solve for x
    x = 374,603.49/541.71
  6. Step 6: Final answer
    x = 691.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.