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Finding the Fourth Proportional to 457.62, 631.03 and 420.63

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Solution

The fourth proportional to 457.62, 631.03 and 420.63 is: 580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.62 : 631.03 = 420.63 : x
  2. Step 2: Convert to fraction form
    457.62/631.03 = 420.63/x
  3. Step 3: Cross multiply
    457.62x = 631.03 × 420.63
  4. Step 4: Simplify right side
    457.62x = 265,430.15
  5. Step 5: Solve for x
    x = 265,430.15/457.62
  6. Step 6: Final answer
    x = 580.02

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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.