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Finding the Fourth Proportional to 495.77, 742.35 and 437.39

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Solution

The fourth proportional to 495.77, 742.35 and 437.39 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.77 : 742.35 = 437.39 : x
  2. Step 2: Convert to fraction form
    495.77/742.35 = 437.39/x
  3. Step 3: Cross multiply
    495.77x = 742.35 × 437.39
  4. Step 4: Simplify right side
    495.77x = 324,692.75
  5. Step 5: Solve for x
    x = 324,692.75/495.77
  6. Step 6: Final answer
    x = 654.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.