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Finding the Fourth Proportional to 447.59, 611.93 and 430.58

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Solution

The fourth proportional to 447.59, 611.93 and 430.58 is: 588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.59 : 611.93 = 430.58 : x
  2. Step 2: Convert to fraction form
    447.59/611.93 = 430.58/x
  3. Step 3: Cross multiply
    447.59x = 611.93 × 430.58
  4. Step 4: Simplify right side
    447.59x = 263,479.61
  5. Step 5: Solve for x
    x = 263,479.61/447.59
  6. Step 6: Final answer
    x = 588.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.