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Finding the Fourth Proportional to 434.18, 646.89 and 424.46

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Solution

The fourth proportional to 434.18, 646.89 and 424.46 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.18 : 646.89 = 424.46 : x
  2. Step 2: Convert to fraction form
    434.18/646.89 = 424.46/x
  3. Step 3: Cross multiply
    434.18x = 646.89 × 424.46
  4. Step 4: Simplify right side
    434.18x = 274,576.81
  5. Step 5: Solve for x
    x = 274,576.81/434.18
  6. Step 6: Final answer
    x = 632.40

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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.