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Finding the Fourth Proportional to 495.50, 742.34 and 289.70

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Solution

The fourth proportional to 495.50, 742.34 and 289.70 is: 434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 742.34 = 289.70 : x
  2. Step 2: Convert to fraction form
    495.50/742.34 = 289.70/x
  3. Step 3: Cross multiply
    495.50x = 742.34 × 289.70
  4. Step 4: Simplify right side
    495.50x = 215,050.74
  5. Step 5: Solve for x
    x = 215,050.74/495.50
  6. Step 6: Final answer
    x = 434.01

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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.