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Finding the Fourth Proportional to 541.84, 747.71 and 332.36

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Solution

The fourth proportional to 541.84, 747.71 and 332.36 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 747.71 = 332.36 : x
  2. Step 2: Convert to fraction form
    541.84/747.71 = 332.36/x
  3. Step 3: Cross multiply
    541.84x = 747.71 × 332.36
  4. Step 4: Simplify right side
    541.84x = 248,508.90
  5. Step 5: Solve for x
    x = 248,508.90/541.84
  6. Step 6: Final answer
    x = 458.64

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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.