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Finding the Fourth Proportional to 434.14, 597.72 and 346.66

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Solution

The fourth proportional to 434.14, 597.72 and 346.66 is: 477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 597.72 = 346.66 : x
  2. Step 2: Convert to fraction form
    434.14/597.72 = 346.66/x
  3. Step 3: Cross multiply
    434.14x = 597.72 × 346.66
  4. Step 4: Simplify right side
    434.14x = 207,205.62
  5. Step 5: Solve for x
    x = 207,205.62/434.14
  6. Step 6: Final answer
    x = 477.28

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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.