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Finding the Fourth Proportional to 312.61, 469.83 and 289.98

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Solution

The fourth proportional to 312.61, 469.83 and 289.98 is: 435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 469.83 = 289.98 : x
  2. Step 2: Convert to fraction form
    312.61/469.83 = 289.98/x
  3. Step 3: Cross multiply
    312.61x = 469.83 × 289.98
  4. Step 4: Simplify right side
    312.61x = 136,241.30
  5. Step 5: Solve for x
    x = 136,241.30/312.61
  6. Step 6: Final answer
    x = 435.82

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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.