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Finding the Fourth Proportional to 453.16, 679.70 and 429.46

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Solution

The fourth proportional to 453.16, 679.70 and 429.46 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.16 : 679.70 = 429.46 : x
  2. Step 2: Convert to fraction form
    453.16/679.70 = 429.46/x
  3. Step 3: Cross multiply
    453.16x = 679.70 × 429.46
  4. Step 4: Simplify right side
    453.16x = 291,903.96
  5. Step 5: Solve for x
    x = 291,903.96/453.16
  6. Step 6: Final answer
    x = 644.15

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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.