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Finding the Fourth Proportional to 543.40, 810.29 and 521.80

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Solution

The fourth proportional to 543.40, 810.29 and 521.80 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 810.29 = 521.80 : x
  2. Step 2: Convert to fraction form
    543.40/810.29 = 521.80/x
  3. Step 3: Cross multiply
    543.40x = 810.29 × 521.80
  4. Step 4: Simplify right side
    543.40x = 422,809.32
  5. Step 5: Solve for x
    x = 422,809.32/543.40
  6. Step 6: Final answer
    x = 778.08

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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.