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Finding the Fourth Proportional to 541.51, 747.11 and 355.01

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Solution

The fourth proportional to 541.51, 747.11 and 355.01 is: 489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.51 : 747.11 = 355.01 : x
  2. Step 2: Convert to fraction form
    541.51/747.11 = 355.01/x
  3. Step 3: Cross multiply
    541.51x = 747.11 × 355.01
  4. Step 4: Simplify right side
    541.51x = 265,228.67
  5. Step 5: Solve for x
    x = 265,228.67/541.51
  6. Step 6: Final answer
    x = 489.80

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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.