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Finding the Fourth Proportional to 543.40, 814.72 and 435.16

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Solution

The fourth proportional to 543.40, 814.72 and 435.16 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.40 : 814.72 = 435.16 : x
  2. Step 2: Convert to fraction form
    543.40/814.72 = 435.16/x
  3. Step 3: Cross multiply
    543.40x = 814.72 × 435.16
  4. Step 4: Simplify right side
    543.40x = 354,533.56
  5. Step 5: Solve for x
    x = 354,533.56/543.40
  6. Step 6: Final answer
    x = 652.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.