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Finding the Fourth Proportional to 706.13, 974.45 and 430.13

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Solution

The fourth proportional to 706.13, 974.45 and 430.13 is: 593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.13 : 974.45 = 430.13 : x
  2. Step 2: Convert to fraction form
    706.13/974.45 = 430.13/x
  3. Step 3: Cross multiply
    706.13x = 974.45 × 430.13
  4. Step 4: Simplify right side
    706.13x = 419,136.38
  5. Step 5: Solve for x
    x = 419,136.38/706.13
  6. Step 6: Final answer
    x = 593.57

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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.