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Finding the Fourth Proportional to 429.74, 644.01 and 313.50

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Solution

The fourth proportional to 429.74, 644.01 and 313.50 is: 469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 644.01 = 313.50 : x
  2. Step 2: Convert to fraction form
    429.74/644.01 = 313.50/x
  3. Step 3: Cross multiply
    429.74x = 644.01 × 313.50
  4. Step 4: Simplify right side
    429.74x = 201,897.14
  5. Step 5: Solve for x
    x = 201,897.14/429.74
  6. Step 6: Final answer
    x = 469.81

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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.