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Finding the Fourth Proportional to 541.44, 746.72 and 468.48

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Solution

The fourth proportional to 541.44, 746.72 and 468.48 is: 646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 746.72 = 468.48 : x
  2. Step 2: Convert to fraction form
    541.44/746.72 = 468.48/x
  3. Step 3: Cross multiply
    541.44x = 746.72 × 468.48
  4. Step 4: Simplify right side
    541.44x = 349,823.39
  5. Step 5: Solve for x
    x = 349,823.39/541.44
  6. Step 6: Final answer
    x = 646.10

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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.