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Finding the Fourth Proportional to 653.37, 902.14 and 457.45

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Solution

The fourth proportional to 653.37, 902.14 and 457.45 is: 631.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 902.14 = 457.45 : x
  2. Step 2: Convert to fraction form
    653.37/902.14 = 457.45/x
  3. Step 3: Cross multiply
    653.37x = 902.14 × 457.45
  4. Step 4: Simplify right side
    653.37x = 412,680.54
  5. Step 5: Solve for x
    x = 412,680.54/653.37
  6. Step 6: Final answer
    x = 631.62

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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.