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Finding the Fourth Proportional to 541.46, 810.63 and 402.55

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Solution

The fourth proportional to 541.46, 810.63 and 402.55 is: 602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 810.63 = 402.55 : x
  2. Step 2: Convert to fraction form
    541.46/810.63 = 402.55/x
  3. Step 3: Cross multiply
    541.46x = 810.63 × 402.55
  4. Step 4: Simplify right side
    541.46x = 326,317.08
  5. Step 5: Solve for x
    x = 326,317.08/541.46
  6. Step 6: Final answer
    x = 602.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.