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Finding the Fourth Proportional to 458.50, 631.89 and 423.70

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Solution

The fourth proportional to 458.50, 631.89 and 423.70 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.50 : 631.89 = 423.70 : x
  2. Step 2: Convert to fraction form
    458.50/631.89 = 423.70/x
  3. Step 3: Cross multiply
    458.50x = 631.89 × 423.70
  4. Step 4: Simplify right side
    458.50x = 267,731.79
  5. Step 5: Solve for x
    x = 267,731.79/458.50
  6. Step 6: Final answer
    x = 583.93

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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.