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Finding the Fourth Proportional to 433.76, 598.64 and 278.48

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Solution

The fourth proportional to 433.76, 598.64 and 278.48 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 598.64 = 278.48 : x
  2. Step 2: Convert to fraction form
    433.76/598.64 = 278.48/x
  3. Step 3: Cross multiply
    433.76x = 598.64 × 278.48
  4. Step 4: Simplify right side
    433.76x = 166,709.27
  5. Step 5: Solve for x
    x = 166,709.27/433.76
  6. Step 6: Final answer
    x = 384.34

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Why These Related Problems?

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