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Finding the Fourth Proportional to 434.39, 646.52 and 424.80

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Solution

The fourth proportional to 434.39, 646.52 and 424.80 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.39 : 646.52 = 424.80 : x
  2. Step 2: Convert to fraction form
    434.39/646.52 = 424.80/x
  3. Step 3: Cross multiply
    434.39x = 646.52 × 424.80
  4. Step 4: Simplify right side
    434.39x = 274,639.57
  5. Step 5: Solve for x
    x = 274,639.57/434.39
  6. Step 6: Final answer
    x = 632.25

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