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Finding the Fourth Proportional to 614.41, 921.46 and 383.18

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Solution

The fourth proportional to 614.41, 921.46 and 383.18 is: 574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.41 : 921.46 = 383.18 : x
  2. Step 2: Convert to fraction form
    614.41/921.46 = 383.18/x
  3. Step 3: Cross multiply
    614.41x = 921.46 × 383.18
  4. Step 4: Simplify right side
    614.41x = 353,080.63
  5. Step 5: Solve for x
    x = 353,080.63/614.41
  6. Step 6: Final answer
    x = 574.67

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Why These Related Problems?

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