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Finding the Fourth Proportional to 429.79, 648.53 and 414.53

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Solution

The fourth proportional to 429.79, 648.53 and 414.53 is: 625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.79 : 648.53 = 414.53 : x
  2. Step 2: Convert to fraction form
    429.79/648.53 = 414.53/x
  3. Step 3: Cross multiply
    429.79x = 648.53 × 414.53
  4. Step 4: Simplify right side
    429.79x = 268,835.14
  5. Step 5: Solve for x
    x = 268,835.14/429.79
  6. Step 6: Final answer
    x = 625.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.