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Finding the Fourth Proportional to 434.23, 646.16 and 419.34

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Solution

The fourth proportional to 434.23, 646.16 and 419.34 is: 624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.23 : 646.16 = 419.34 : x
  2. Step 2: Convert to fraction form
    434.23/646.16 = 419.34/x
  3. Step 3: Cross multiply
    434.23x = 646.16 × 419.34
  4. Step 4: Simplify right side
    434.23x = 270,963.42
  5. Step 5: Solve for x
    x = 270,963.42/434.23
  6. Step 6: Final answer
    x = 624.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.