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Finding the Fourth Proportional to 614.16, 918.54 and 534.24

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Solution

The fourth proportional to 614.16, 918.54 and 534.24 is: 799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.16 : 918.54 = 534.24 : x
  2. Step 2: Convert to fraction form
    614.16/918.54 = 534.24/x
  3. Step 3: Cross multiply
    614.16x = 918.54 × 534.24
  4. Step 4: Simplify right side
    614.16x = 490,720.81
  5. Step 5: Solve for x
    x = 490,720.81/614.16
  6. Step 6: Final answer
    x = 799.01

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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.