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Finding the Fourth Proportional to 433.63, 598.28 and 284.41

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Solution

The fourth proportional to 433.63, 598.28 and 284.41 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.63 : 598.28 = 284.41 : x
  2. Step 2: Convert to fraction form
    433.63/598.28 = 284.41/x
  3. Step 3: Cross multiply
    433.63x = 598.28 × 284.41
  4. Step 4: Simplify right side
    433.63x = 170,156.81
  5. Step 5: Solve for x
    x = 170,156.81/433.63
  6. Step 6: Final answer
    x = 392.40

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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.