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Finding the Fourth Proportional to 429.20, 642.45 and 307.70

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Solution

The fourth proportional to 429.20, 642.45 and 307.70 is: 460.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 642.45 = 307.70 : x
  2. Step 2: Convert to fraction form
    429.20/642.45 = 307.70/x
  3. Step 3: Cross multiply
    429.20x = 642.45 × 307.70
  4. Step 4: Simplify right side
    429.20x = 197,681.87
  5. Step 5: Solve for x
    x = 197,681.87/429.20
  6. Step 6: Final answer
    x = 460.58

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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.