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Finding the Fourth Proportional to 534.56, 802.51 and 412.90

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Solution

The fourth proportional to 534.56, 802.51 and 412.90 is: 619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 802.51 = 412.90 : x
  2. Step 2: Convert to fraction form
    534.56/802.51 = 412.90/x
  3. Step 3: Cross multiply
    534.56x = 802.51 × 412.90
  4. Step 4: Simplify right side
    534.56x = 331,353.34
  5. Step 5: Solve for x
    x = 331,353.34/534.56
  6. Step 6: Final answer
    x = 619.87

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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.