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Finding the Fourth Proportional to 614.42, 850.05 and 536.93

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Solution

The fourth proportional to 614.42, 850.05 and 536.93 is: 742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.42 : 850.05 = 536.93 : x
  2. Step 2: Convert to fraction form
    614.42/850.05 = 536.93/x
  3. Step 3: Cross multiply
    614.42x = 850.05 × 536.93
  4. Step 4: Simplify right side
    614.42x = 456,417.35
  5. Step 5: Solve for x
    x = 456,417.35/614.42
  6. Step 6: Final answer
    x = 742.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.