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Finding the Fourth Proportional to 513.01, 706.70 and 430.12

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Solution

The fourth proportional to 513.01, 706.70 and 430.12 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.01 : 706.70 = 430.12 : x
  2. Step 2: Convert to fraction form
    513.01/706.70 = 430.12/x
  3. Step 3: Cross multiply
    513.01x = 706.70 × 430.12
  4. Step 4: Simplify right side
    513.01x = 303,960.12
  5. Step 5: Solve for x
    x = 303,960.12/513.01
  6. Step 6: Final answer
    x = 592.51

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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.