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Finding the Fourth Proportional to 607.88, 838.50 and 433.28

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Solution

The fourth proportional to 607.88, 838.50 and 433.28 is: 597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.88 : 838.50 = 433.28 : x
  2. Step 2: Convert to fraction form
    607.88/838.50 = 433.28/x
  3. Step 3: Cross multiply
    607.88x = 838.50 × 433.28
  4. Step 4: Simplify right side
    607.88x = 363,305.28
  5. Step 5: Solve for x
    x = 363,305.28/607.88
  6. Step 6: Final answer
    x = 597.66

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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.