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Finding the Fourth Proportional to 647.16, 965.28 and 543.24

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Solution

The fourth proportional to 647.16, 965.28 and 543.24 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.16 : 965.28 = 543.24 : x
  2. Step 2: Convert to fraction form
    647.16/965.28 = 543.24/x
  3. Step 3: Cross multiply
    647.16x = 965.28 × 543.24
  4. Step 4: Simplify right side
    647.16x = 524,378.71
  5. Step 5: Solve for x
    x = 524,378.71/647.16
  6. Step 6: Final answer
    x = 810.28

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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.