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Finding the Fourth Proportional to 456.84, 631.17 and 434.34

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Solution

The fourth proportional to 456.84, 631.17 and 434.34 is: 600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 631.17 = 434.34 : x
  2. Step 2: Convert to fraction form
    456.84/631.17 = 434.34/x
  3. Step 3: Cross multiply
    456.84x = 631.17 × 434.34
  4. Step 4: Simplify right side
    456.84x = 274,142.38
  5. Step 5: Solve for x
    x = 274,142.38/456.84
  6. Step 6: Final answer
    x = 600.08

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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.