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Finding the Fourth Proportional to 429, 643.50 and 140.46

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Solution

The fourth proportional to 429, 643.50 and 140.46 is: 210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 643.50 = 140.46 : x
  2. Step 2: Convert to fraction form
    429/643.50 = 140.46/x
  3. Step 3: Cross multiply
    429x = 643.50 × 140.46
  4. Step 4: Simplify right side
    429x = 90,386.01
  5. Step 5: Solve for x
    x = 90,386.01/429
  6. Step 6: Final answer
    x = 210.69

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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.