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Finding the Fourth Proportional to 458.35, 631.26 and 434.89

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Solution

The fourth proportional to 458.35, 631.26 and 434.89 is: 598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.35 : 631.26 = 434.89 : x
  2. Step 2: Convert to fraction form
    458.35/631.26 = 434.89/x
  3. Step 3: Cross multiply
    458.35x = 631.26 × 434.89
  4. Step 4: Simplify right side
    458.35x = 274,528.66
  5. Step 5: Solve for x
    x = 274,528.66/458.35
  6. Step 6: Final answer
    x = 598.95

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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.