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Finding the Fourth Proportional to 540.60, 803.61 and 524.19

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Solution

The fourth proportional to 540.60, 803.61 and 524.19 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.60 : 803.61 = 524.19 : x
  2. Step 2: Convert to fraction form
    540.60/803.61 = 524.19/x
  3. Step 3: Cross multiply
    540.60x = 803.61 × 524.19
  4. Step 4: Simplify right side
    540.60x = 421,244.33
  5. Step 5: Solve for x
    x = 421,244.33/540.60
  6. Step 6: Final answer
    x = 779.22

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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.