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Finding the Fourth Proportional to 458.09, 631.72 and 420.15

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Solution

The fourth proportional to 458.09, 631.72 and 420.15 is: 579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 631.72 = 420.15 : x
  2. Step 2: Convert to fraction form
    458.09/631.72 = 420.15/x
  3. Step 3: Cross multiply
    458.09x = 631.72 × 420.15
  4. Step 4: Simplify right side
    458.09x = 265,416.11
  5. Step 5: Solve for x
    x = 265,416.11/458.09
  6. Step 6: Final answer
    x = 579.39

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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.