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Finding the Fourth Proportional to 541.15, 808.27 and 432.61

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Solution

The fourth proportional to 541.15, 808.27 and 432.61 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.15 : 808.27 = 432.61 : x
  2. Step 2: Convert to fraction form
    541.15/808.27 = 432.61/x
  3. Step 3: Cross multiply
    541.15x = 808.27 × 432.61
  4. Step 4: Simplify right side
    541.15x = 349,665.68
  5. Step 5: Solve for x
    x = 349,665.68/541.15
  6. Step 6: Final answer
    x = 646.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.