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Finding the Fourth Proportional to 662.50, 913.93 and 466.12

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Solution

The fourth proportional to 662.50, 913.93 and 466.12 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.50 : 913.93 = 466.12 : x
  2. Step 2: Convert to fraction form
    662.50/913.93 = 466.12/x
  3. Step 3: Cross multiply
    662.50x = 913.93 × 466.12
  4. Step 4: Simplify right side
    662.50x = 426,001.05
  5. Step 5: Solve for x
    x = 426,001.05/662.50
  6. Step 6: Final answer
    x = 643.02

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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.