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Finding the Fourth Proportional to 429.18, 643.15 and 416.01

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Solution

The fourth proportional to 429.18, 643.15 and 416.01 is: 623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.18 : 643.15 = 416.01 : x
  2. Step 2: Convert to fraction form
    429.18/643.15 = 416.01/x
  3. Step 3: Cross multiply
    429.18x = 643.15 × 416.01
  4. Step 4: Simplify right side
    429.18x = 267,556.83
  5. Step 5: Solve for x
    x = 267,556.83/429.18
  6. Step 6: Final answer
    x = 623.41

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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.