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Finding the Fourth Proportional to 433.02, 597.06 and 277.50

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Solution

The fourth proportional to 433.02, 597.06 and 277.50 is: 382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.02 : 597.06 = 277.50 : x
  2. Step 2: Convert to fraction form
    433.02/597.06 = 277.50/x
  3. Step 3: Cross multiply
    433.02x = 597.06 × 277.50
  4. Step 4: Simplify right side
    433.02x = 165,684.15
  5. Step 5: Solve for x
    x = 165,684.15/433.02
  6. Step 6: Final answer
    x = 382.62

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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.