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Finding the Fourth Proportional to 537.80, 810.43 and 534.20

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Solution

The fourth proportional to 537.80, 810.43 and 534.20 is: 805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 810.43 = 534.20 : x
  2. Step 2: Convert to fraction form
    537.80/810.43 = 534.20/x
  3. Step 3: Cross multiply
    537.80x = 810.43 × 534.20
  4. Step 4: Simplify right side
    537.80x = 432,931.71
  5. Step 5: Solve for x
    x = 432,931.71/537.80
  6. Step 6: Final answer
    x = 805.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.