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Finding the Fourth Proportional to 541.60, 805.10 and 525.19

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Solution

The fourth proportional to 541.60, 805.10 and 525.19 is: 780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 805.10 = 525.19 : x
  2. Step 2: Convert to fraction form
    541.60/805.10 = 525.19/x
  3. Step 3: Cross multiply
    541.60x = 805.10 × 525.19
  4. Step 4: Simplify right side
    541.60x = 422,830.47
  5. Step 5: Solve for x
    x = 422,830.47/541.60
  6. Step 6: Final answer
    x = 780.71

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Why These Related Problems?

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