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Finding the Fourth Proportional to 458.70, 643.80 and 458.70

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Solution

The fourth proportional to 458.70, 643.80 and 458.70 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 643.80 = 458.70 : x
  2. Step 2: Convert to fraction form
    458.70/643.80 = 458.70/x
  3. Step 3: Cross multiply
    458.70x = 643.80 × 458.70
  4. Step 4: Simplify right side
    458.70x = 295,311.06
  5. Step 5: Solve for x
    x = 295,311.06/458.70
  6. Step 6: Final answer
    x = 643.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.