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Finding the Fourth Proportional to 538.19, 806.85 and 507.63

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Solution

The fourth proportional to 538.19, 806.85 and 507.63 is: 761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.19 : 806.85 = 507.63 : x
  2. Step 2: Convert to fraction form
    538.19/806.85 = 507.63/x
  3. Step 3: Cross multiply
    538.19x = 806.85 × 507.63
  4. Step 4: Simplify right side
    538.19x = 409,583.58
  5. Step 5: Solve for x
    x = 409,583.58/538.19
  6. Step 6: Final answer
    x = 761.04

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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.