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Finding the Fourth Proportional to 541, 746.58 and 357.32

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Solution

The fourth proportional to 541, 746.58 and 357.32 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541 : 746.58 = 357.32 : x
  2. Step 2: Convert to fraction form
    541/746.58 = 357.32/x
  3. Step 3: Cross multiply
    541x = 746.58 × 357.32
  4. Step 4: Simplify right side
    541x = 266,767.97
  5. Step 5: Solve for x
    x = 266,767.97/541
  6. Step 6: Final answer
    x = 493.10

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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.