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Finding the Fourth Proportional to 433.68, 598.12 and 278.16

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Solution

The fourth proportional to 433.68, 598.12 and 278.16 is: 383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 598.12 = 278.16 : x
  2. Step 2: Convert to fraction form
    433.68/598.12 = 278.16/x
  3. Step 3: Cross multiply
    433.68x = 598.12 × 278.16
  4. Step 4: Simplify right side
    433.68x = 166,373.06
  5. Step 5: Solve for x
    x = 166,373.06/433.68
  6. Step 6: Final answer
    x = 383.63

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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.