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Finding the Fourth Proportional to 653.86, 902.37 and 457.30

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Solution

The fourth proportional to 653.86, 902.37 and 457.30 is: 631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.86 : 902.37 = 457.30 : x
  2. Step 2: Convert to fraction form
    653.86/902.37 = 457.30/x
  3. Step 3: Cross multiply
    653.86x = 902.37 × 457.30
  4. Step 4: Simplify right side
    653.86x = 412,653.80
  5. Step 5: Solve for x
    x = 412,653.80/653.86
  6. Step 6: Final answer
    x = 631.10

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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.