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Finding the Fourth Proportional to 462.16, 633.05 and 456.23

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Solution

The fourth proportional to 462.16, 633.05 and 456.23 is: 624.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 633.05 = 456.23 : x
  2. Step 2: Convert to fraction form
    462.16/633.05 = 456.23/x
  3. Step 3: Cross multiply
    462.16x = 633.05 × 456.23
  4. Step 4: Simplify right side
    462.16x = 288,819.34
  5. Step 5: Solve for x
    x = 288,819.34/462.16
  6. Step 6: Final answer
    x = 624.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.