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Finding the Fourth Proportional to 434.40, 598.08 and 386.92

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Solution

The fourth proportional to 434.40, 598.08 and 386.92 is: 532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 598.08 = 386.92 : x
  2. Step 2: Convert to fraction form
    434.40/598.08 = 386.92/x
  3. Step 3: Cross multiply
    434.40x = 598.08 × 386.92
  4. Step 4: Simplify right side
    434.40x = 231,409.11
  5. Step 5: Solve for x
    x = 231,409.11/434.40
  6. Step 6: Final answer
    x = 532.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.